Measures of noncompactness in metric fixed point theory:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel ; Boston ; Berlin
Birkhäuser
1997
|
| Series: | Operator theory
99 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 197 - 204 |
| Physical Description: | VI, 211 S. |
| ISBN: | 3764357940 0817657940 |
Staff View
MARC
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| 100 | 1 | |a Ayerbe Toledano, José María |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Measures of noncompactness in metric fixed point theory |c J. M. Ayerbe Toledano ; T. Domínguez Benavides ; G. López Acedo |
| 264 | 1 | |a Basel ; Boston ; Berlin |b Birkhäuser |c 1997 | |
| 300 | |a VI, 211 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Operator theory |v 99 | |
| 500 | |a Literaturverz. S. 197 - 204 | ||
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| 650 | 7 | |a convexité |2 inriac | |
| 650 | 7 | |a lissité |2 inriac | |
| 650 | 7 | |a non compacité |2 inriac | |
| 650 | 7 | |a théorie mesure |2 inriac | |
| 650 | 7 | |a théorie point fixe |2 inriac | |
| 650 | 4 | |a Compact spaces | |
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Record in the Search Index
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| adam_text | Contents
Preface vii
Introduction 1
I The fixed point theorems of Brouwer and Schauder 5
1 The fixed point theorem of Brouwer and applications 6
2 The fixed point theorem of Schauder and applications 10
II Measures of noncompactness 17
1 The general notion of a measure of noncompactness 18
2 The Kuratowski and Hausdorff measures of noncompactness 20
3 The separation measure of noncompactness 26
4 Measures of noncompactness in Banach sequences spaces 34
5 Theorem of Darbo and Sadovskii and applications 38
III Minimal sets for a measure of noncompactness 45
1 0 minimal sets 46
2 Minimalizable measures of noncompactness 49
IV Convexity and smoothness 57
1 Strict convexity and smoothness 57
2 A* uniform convexity 62
3 fc uniform smoothness 79
V Nearly uniform convexity and nearly uniform smoothness 85
1 Nearly uniformly convex Banach spaces 86
2 Nearly uniformly smooth Banach spaces 97
3 Uniform Opial condition 102
vi Metric Fixed Point Theory
VI Fixed points for nonexpansive mappings and normal structure 109
1 Existence of fixed points for nonexpansive mappings:
Kirk s theorem 111
2 The coefficient N(X) and its connection with uniform convexity 114
3 The weakly convergent sequence coefficient 118
4 Uniform smoothness, near uniform convexity and normal structure ... 123
5 Normal structure in direct sum spaces 125
6 Computation of the normal structure coefficients in Lp spaces 127
VII Fixed point theorems in the absence of normal structure 131
1 Goebel Karlovitz s lemma and Lin s lemma 132
2 The coefficient M(X) and the fixed point property 134
VIII Uniformly Lipschitzian mappings 141
1 Lifshitz characteristic and fixed points 142
2 Connections between the Lifshitz characteristic and
certain geometric coefficients 145
3 The normal structure coefficient and fixed points 150
IX Asymptotically regular mappings 153
1 A fixed point theorem for asymptotically regular mappings 154
2 Connections between the r characteristic and some other
geometric coefficients 157
3 The weakly convergent sequence coefficient and fixed points 164
X Packing rates and ^ contractiveness constants 167
1 Comparable measures of noncompactness 168
2 Packing rates of a metric space 170
3 Connections between the packing rates and the normal
structure coefficients 176
4 Packing rates in £p spaces 179
5 Packing rates in Lp spaces 182
6 Packing rates in direct sum spaces 187
References 197
Subject Index 205
List of Symbols and Notations 209
|
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| author | Ayerbe Toledano, José María Domínguez Benavides, Tomás López Acedo, Genaro 1956- |
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| indexdate | 2024-07-09T18:11:12Z |
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| isbn | 3764357940 0817657940 |
| language | English |
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| physical | VI, 211 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Ayerbe Toledano, José María Verfasser aut Measures of noncompactness in metric fixed point theory J. M. Ayerbe Toledano ; T. Domínguez Benavides ; G. López Acedo Basel ; Boston ; Berlin Birkhäuser 1997 VI, 211 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 99 Literaturverz. S. 197 - 204 Coïncidentie gtt Espaces compacts ram Fixed point theoremas gtt Point fixe, Théorème du ram convexité inriac lissité inriac non compacité inriac théorie mesure inriac théorie point fixe inriac Compact spaces Fixed point theory Fixpunkttheorie (DE-588)4293945-8 gnd rswk-swf Fixpunkttheorie (DE-588)4293945-8 s DE-604 Domínguez Benavides, Tomás Verfasser aut López Acedo, Genaro 1956- Verfasser (DE-588)173132790 aut Operator theory 99 (DE-604)BV000000970 99 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007755552&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ayerbe Toledano, José María Domínguez Benavides, Tomás López Acedo, Genaro 1956- Measures of noncompactness in metric fixed point theory Operator theory Coïncidentie gtt Espaces compacts ram Fixed point theoremas gtt Point fixe, Théorème du ram convexité inriac lissité inriac non compacité inriac théorie mesure inriac théorie point fixe inriac Compact spaces Fixed point theory Fixpunkttheorie (DE-588)4293945-8 gnd |
| subject_GND | (DE-588)4293945-8 |
| title | Measures of noncompactness in metric fixed point theory |
| title_auth | Measures of noncompactness in metric fixed point theory |
| title_exact_search | Measures of noncompactness in metric fixed point theory |
| title_full | Measures of noncompactness in metric fixed point theory J. M. Ayerbe Toledano ; T. Domínguez Benavides ; G. López Acedo |
| title_fullStr | Measures of noncompactness in metric fixed point theory J. M. Ayerbe Toledano ; T. Domínguez Benavides ; G. López Acedo |
| title_full_unstemmed | Measures of noncompactness in metric fixed point theory J. M. Ayerbe Toledano ; T. Domínguez Benavides ; G. López Acedo |
| title_short | Measures of noncompactness in metric fixed point theory |
| title_sort | measures of noncompactness in metric fixed point theory |
| topic | Coïncidentie gtt Espaces compacts ram Fixed point theoremas gtt Point fixe, Théorème du ram convexité inriac lissité inriac non compacité inriac théorie mesure inriac théorie point fixe inriac Compact spaces Fixed point theory Fixpunkttheorie (DE-588)4293945-8 gnd |
| topic_facet | Coïncidentie Espaces compacts Fixed point theoremas Point fixe, Théorème du convexité lissité non compacité théorie mesure théorie point fixe Compact spaces Fixed point theory Fixpunkttheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007755552&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
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