Topological fixed point theory for singlevalued and multivalued mappings and applications:
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Cham]
Springer
[2016]
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| Subjects: | |
| Online Access: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (X, 194 Seiten) |
| ISBN: | 9783319319483 |
| DOI: | 10.1007/978-3-319-31948-3 |
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| adam_text | TOPOLOGICAL FIXED POINT THEORY FOR SINGLEVALUED AND MULTIVALUED MAPPINGS
AND APPLICATIONS
/ BEN AMAR, AFIF
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
BASIC CONCEPTS
NONLINEAR EIGENVALUE PROBLEMS IN DUNFORD-PETTIS SPACES
FIXED POINT THEORY IN LOCALLY CONVEX SPACES
FIXED POINTS FOR MAPS WITH WEAKLY SEQUENTIALLY-CLOSED
FIXED POINT THEORY IN BANACH ALGEBRAS
FIXED POINT THEORY FOR (WS)-COMPACT OPERATORS
APPROXIMATE FIXED POINT THEOREMS IN BANACH SPACES.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
TOPOLOGICAL FIXED POINT THEORY FOR SINGLEVALUED AND MULTIVALUED MAPPINGS
AND APPLICATIONS
/ BEN AMAR, AFIF
: 2016
ABSTRACT / INHALTSTEXT
THIS IS A MONOGRAPH COVERING TOPOLOGICAL FIXED POINT THEORY FOR SEVERAL
CLASSES OF SINGLE AND MULTIVALUED MAPS. THE AUTHORS BEGIN BY PRESENTING
BASIC NOTIONS IN LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES. SPECIAL
ATTENTION IS THEN DEVOTED TO WEAK COMPACTNESS, IN PARTICULAR TO THE
THEOREMS OF EBERLEIN–SMULIAN, GROTHENDICK AND DUNFORD–PETTIS.
LERAY–SCHAUDER ALTERNATIVES AND EIGENVALUE PROBLEMS FOR DECOMPOSABLE
SINGLE-VALUED NONLINEAR WEAKLY COMPACT OPERATORS IN DUNFORD–PETTIS
SPACES ARE CONSIDERED, IN ADDITION TO SOME VARIANTS OF SCHAUDER,
KRASNOSELSKII, SADOVSKII, AND LERAY–SCHAUDER TYPE FIXED POINT THEOREMS
FOR DIFFERENT CLASSES OF WEAKLY SEQUENTIALLY CONTINUOUS OPERATORS ON
GENERAL BANACH SPACES. THE AUTHORS THEN PROCEED WITH AN EXAMINATION OF
SADOVSKII, FURI–PERA, AND KRASNOSELSKII FIXED POINT THEOREMS AND
NONLINEAR LERAY–SCHAUDER ALTERNATIVES IN THE FRAMEWORK OF WEAK
TOPOLOGIES AND INVOLVING MULTIVALUED MAPPINGS WITH WEAKLY SEQUENTIALLY
CLOSED GRAPH.THESE RESULTS ARE FORMULATED IN TERMS OF AXIOMATIC MEASURES
OF WEAK NONCOMPACTNESS. THE AUTHORS CONTINUE TO PRESENT SOME FIXED POINT
THEOREMS IN A NONEMPTY CLOSED CONVEX OF ANY BANACH ALGEBRAS OR BANACH
ALGEBRAS SATISFYING A SEQUENTIAL CONDITION (P) FOR THE SUM AND THE
PRODUCT OF NONLINEAR WEAKLY SEQUENTIALLY CONTINUOUS OPERATORS, AND
ILLUSTRATE THE THEORY BY CONSIDERING FUNCTIONAL INTEGRAL AND PARTIAL
DIFFERENTIAL EQUATIONS. THE EXISTENCE OF FIXED POINTS, NONLINEAR
LERAY–SCHAUDER ALTERNATIVES FOR DIFFERENT CLASSES OF NONLINEAR
(WS)-COMPACT OPERATORS (WEAKLY CONDENSING, 1-SET WEAKLY CONTRACTIVE,
STRICTLY QUASI-BOUNDED) DEFINED ON AN UNBOUNDED CLOSED CONVEX SUBSET OF
A BANACH SPACE ARE ALSO DISCUSSED. THE AUTHORS ALSO EXAMINE THE
EXISTENCE OF NONLINEAR EIGENVALUES AND EIGENVECTORS, AS WELL AS THE
SURJECTIVITY OF QUASIBOUNDED OPERATORS. FINALLY, SOME APPROXIMATE FIXED
POINT THEOREMS FOR MULTIVALUED MAPPINGS DEFINED ON BANACH SPACES.WEAK
AND STRONG TOPOLOGIES PLAY A ROLE HERE AND BOTH BOUNDED AND UNBOUNDED
REGIONS ARE CONSIDERED. THE AUTHORS EXPLICATE A METHOD DEVELOPED TO
INDICATE HOW TO USE APPROXIMATE FIXED POINT THEOREMS TO PROVE THE
EXISTENCE OF APPROXIMATE NASH EQUILIBRIA FOR NON-COOPERATIVE GAMES.
FIXED POINT THEORY IS A POWERFUL AND FRUITFUL TOOL IN MODERN MATHEMATICS
AND MAY BE CONSIDERED AS A CORE SUBJECT IN NONLINEAR ANALYSIS. IN THE
LAST 50 YEARS, FIXED POINT THEORY HAS BEEN A FLOURISHING AREA OF
RESEARCH. AS SUCH, THE MONOGRAPH BEGINS WITH AN OVERVIEW OF THESE
DEVELOPMENTS BEFORE GRAVITATING TOWARDS TOPICS SELECTED TO REFLECT THE
PARTICULAR INTERESTS OF THE AUTHORS.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Ben Amar, Afif O'Regan, Donal 1959- |
| author_GND | (DE-588)138809879 |
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| author_role | aut aut |
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| author_variant | a a b aa aab d o do |
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| isbn | 9783319319483 |
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| spelling | Ben Amar, Afif Verfasser aut Topological fixed point theory for singlevalued and multivalued mappings and applications Afif Ben Amar, Donal O'Regan [Cham] Springer [2016] © 2016 1 Online-Ressource (X, 194 Seiten) txt rdacontent c rdamedia cr rdacarrier Mathematics Approximation theory Functional analysis Functional Analysis Approximations and Expansions Mathematik O'Regan, Donal 1959- Verfasser (DE-588)138809879 aut Erscheint auch als Druckausgabe 978-3-319-31947-6 https://doi.org/10.1007/978-3-319-31948-3 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994431&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994431&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Ben Amar, Afif O'Regan, Donal 1959- Topological fixed point theory for singlevalued and multivalued mappings and applications Mathematics Approximation theory Functional analysis Functional Analysis Approximations and Expansions Mathematik |
| title | Topological fixed point theory for singlevalued and multivalued mappings and applications |
| title_auth | Topological fixed point theory for singlevalued and multivalued mappings and applications |
| title_exact_search | Topological fixed point theory for singlevalued and multivalued mappings and applications |
| title_full | Topological fixed point theory for singlevalued and multivalued mappings and applications Afif Ben Amar, Donal O'Regan |
| title_fullStr | Topological fixed point theory for singlevalued and multivalued mappings and applications Afif Ben Amar, Donal O'Regan |
| title_full_unstemmed | Topological fixed point theory for singlevalued and multivalued mappings and applications Afif Ben Amar, Donal O'Regan |
| title_short | Topological fixed point theory for singlevalued and multivalued mappings and applications |
| title_sort | topological fixed point theory for singlevalued and multivalued mappings and applications |
| topic | Mathematics Approximation theory Functional analysis Functional Analysis Approximations and Expansions Mathematik |
| topic_facet | Mathematics Approximation theory Functional analysis Functional Analysis Approximations and Expansions Mathematik |
| url | https://doi.org/10.1007/978-3-319-31948-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994431&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994431&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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