Fixed point theory and applications:
This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2001
|
| Schriftenreihe: | Cambridge tracts in mathematics
141 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type |
| Beschreibung: | 1 Online-Ressource (x, 170 Seiten) |
| ISBN: | 9780511543005 |
| DOI: | 10.1017/CBO9780511543005 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043941648 | ||
| 003 | DE-604 | ||
| 005 | 20190308 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2001 |||| o||u| ||||||eng d | ||
| 020 | |a 9780511543005 |c Online |9 978-0-511-54300-5 | ||
| 024 | 7 | |a 10.1017/CBO9780511543005 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511543005 | ||
| 035 | |a (OCoLC)849907180 | ||
| 035 | |a (DE-599)BVBBV043941648 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-355 | ||
| 082 | 0 | |a 514 |2 21 | |
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 084 | |a SK 300 |0 (DE-625)143230: |2 rvk | ||
| 100 | 1 | |a Agarwal, Ravi P. |d 1947- |e Verfasser |0 (DE-588)112040187 |4 aut | |
| 245 | 1 | 0 | |a Fixed point theory and applications |c Ravi P. Agarwal, Maria Meehan, Donal O'Regan |
| 246 | 1 | 3 | |a Fixed Point Theory & Applications |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2001 | |
| 300 | |a 1 Online-Ressource (x, 170 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Cambridge tracts in mathematics |v 141 | |
| 505 | 8 | 0 | |t Contractions |t Nonexpansive maps |t Continuation methods for contractive and nonexpansive mappings |t Theorems of brouwer, schauder and mönch |t Nonlinear alternatives of leray-schauder type |t Continuation principles for condensing maps |t Fixed point theorems in conical shells |t Fixed point theory in hausdorff locally convex linear topological spaces |t Contractive and nonexpansive multivalued maps |t Multivalued maps with continuous selections |t Multivalued maps with closed graph |t Degree theory |
| 520 | |a This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type | ||
| 650 | 4 | |a Fixed point theory | |
| 650 | 4 | |a Mappings (Mathematics) | |
| 650 | 0 | 7 | |a Fixpunkttheorie |0 (DE-588)4293945-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Fixpunkttheorie |0 (DE-588)4293945-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Meehan, Maria |e Sonstige |4 oth | |
| 700 | 1 | |a O'Regan, Donal |d 1959- |e Sonstige |0 (DE-588)138809879 |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-80250-5 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-10419-7 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511543005 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029350618 | ||
| 966 | e | |u https://doi.org/10.1017/CBO9780511543005 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511543005 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511543005 |l UBR01 |p ZDB-20-CBO |q UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176883677396992 |
|---|---|
| any_adam_object | |
| author | Agarwal, Ravi P. 1947- |
| author_GND | (DE-588)112040187 (DE-588)138809879 |
| author_facet | Agarwal, Ravi P. 1947- |
| author_role | aut |
| author_sort | Agarwal, Ravi P. 1947- |
| author_variant | r p a rp rpa |
| building | Verbundindex |
| bvnumber | BV043941648 |
| classification_rvk | SK 600 SK 300 |
| collection | ZDB-20-CBO |
| contents | Contractions Nonexpansive maps Continuation methods for contractive and nonexpansive mappings Theorems of brouwer, schauder and mönch Nonlinear alternatives of leray-schauder type Continuation principles for condensing maps Fixed point theorems in conical shells Fixed point theory in hausdorff locally convex linear topological spaces Contractive and nonexpansive multivalued maps Multivalued maps with continuous selections Multivalued maps with closed graph Degree theory |
| ctrlnum | (ZDB-20-CBO)CR9780511543005 (OCoLC)849907180 (DE-599)BVBBV043941648 |
| dewey-full | 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514 |
| dewey-search | 514 |
| dewey-sort | 3514 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511543005 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03452nmm a2200529zcb4500</leader><controlfield tag="001">BV043941648</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190308 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2001 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511543005</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-54300-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511543005</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511543005</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)849907180</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043941648</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 300</subfield><subfield code="0">(DE-625)143230:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Agarwal, Ravi P.</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)112040187</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fixed point theory and applications</subfield><subfield code="c">Ravi P. Agarwal, Maria Meehan, Donal O'Regan</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Fixed Point Theory & Applications</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (x, 170 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">141</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Contractions</subfield><subfield code="t">Nonexpansive maps</subfield><subfield code="t">Continuation methods for contractive and nonexpansive mappings</subfield><subfield code="t">Theorems of brouwer, schauder and mönch</subfield><subfield code="t">Nonlinear alternatives of leray-schauder type</subfield><subfield code="t">Continuation principles for condensing maps</subfield><subfield code="t">Fixed point theorems in conical shells</subfield><subfield code="t">Fixed point theory in hausdorff locally convex linear topological spaces</subfield><subfield code="t">Contractive and nonexpansive multivalued maps</subfield><subfield code="t">Multivalued maps with continuous selections</subfield><subfield code="t">Multivalued maps with closed graph</subfield><subfield code="t">Degree theory</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fixed point theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mappings (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fixpunkttheorie</subfield><subfield code="0">(DE-588)4293945-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Fixpunkttheorie</subfield><subfield code="0">(DE-588)4293945-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Meehan, Maria</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">O'Regan, Donal</subfield><subfield code="d">1959-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)138809879</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-521-80250-5</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-521-10419-7</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511543005</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029350618</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511543005</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511543005</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511543005</subfield><subfield code="l">UBR01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBR Einzelkauf (Lückenergänzung CUP Serien 2018)</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043941648 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511543005 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350618 |
| oclc_num | 849907180 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (x, 170 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Agarwal, Ravi P. 1947- Verfasser (DE-588)112040187 aut Fixed point theory and applications Ravi P. Agarwal, Maria Meehan, Donal O'Regan Fixed Point Theory & Applications Cambridge Cambridge University Press 2001 1 Online-Ressource (x, 170 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 141 Contractions Nonexpansive maps Continuation methods for contractive and nonexpansive mappings Theorems of brouwer, schauder and mönch Nonlinear alternatives of leray-schauder type Continuation principles for condensing maps Fixed point theorems in conical shells Fixed point theory in hausdorff locally convex linear topological spaces Contractive and nonexpansive multivalued maps Multivalued maps with continuous selections Multivalued maps with closed graph Degree theory This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type Fixed point theory Mappings (Mathematics) Fixpunkttheorie (DE-588)4293945-8 gnd rswk-swf Fixpunkttheorie (DE-588)4293945-8 s DE-604 Meehan, Maria Sonstige oth O'Regan, Donal 1959- Sonstige (DE-588)138809879 oth Erscheint auch als Druck-Ausgabe 978-0-521-80250-5 Erscheint auch als Druck-Ausgabe 978-0-521-10419-7 https://doi.org/10.1017/CBO9780511543005 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Agarwal, Ravi P. 1947- Fixed point theory and applications Contractions Nonexpansive maps Continuation methods for contractive and nonexpansive mappings Theorems of brouwer, schauder and mönch Nonlinear alternatives of leray-schauder type Continuation principles for condensing maps Fixed point theorems in conical shells Fixed point theory in hausdorff locally convex linear topological spaces Contractive and nonexpansive multivalued maps Multivalued maps with continuous selections Multivalued maps with closed graph Degree theory Fixed point theory Mappings (Mathematics) Fixpunkttheorie (DE-588)4293945-8 gnd |
| subject_GND | (DE-588)4293945-8 |
| title | Fixed point theory and applications |
| title_alt | Fixed Point Theory & Applications Contractions Nonexpansive maps Continuation methods for contractive and nonexpansive mappings Theorems of brouwer, schauder and mönch Nonlinear alternatives of leray-schauder type Continuation principles for condensing maps Fixed point theorems in conical shells Fixed point theory in hausdorff locally convex linear topological spaces Contractive and nonexpansive multivalued maps Multivalued maps with continuous selections Multivalued maps with closed graph Degree theory |
| title_auth | Fixed point theory and applications |
| title_exact_search | Fixed point theory and applications |
| title_full | Fixed point theory and applications Ravi P. Agarwal, Maria Meehan, Donal O'Regan |
| title_fullStr | Fixed point theory and applications Ravi P. Agarwal, Maria Meehan, Donal O'Regan |
| title_full_unstemmed | Fixed point theory and applications Ravi P. Agarwal, Maria Meehan, Donal O'Regan |
| title_short | Fixed point theory and applications |
| title_sort | fixed point theory and applications |
| topic | Fixed point theory Mappings (Mathematics) Fixpunkttheorie (DE-588)4293945-8 gnd |
| topic_facet | Fixed point theory Mappings (Mathematics) Fixpunkttheorie |
| url | https://doi.org/10.1017/CBO9780511543005 |
| work_keys_str_mv | AT agarwalravip fixedpointtheoryandapplications AT meehanmaria fixedpointtheoryandapplications AT oregandonal fixedpointtheoryandapplications AT agarwalravip fixedpointtheoryapplications AT meehanmaria fixedpointtheoryapplications AT oregandonal fixedpointtheoryapplications |