The Resource Fixed Point Theorems and Applications, by Vittorino Pata, (electronic resource)
Fixed Point Theorems and Applications, by Vittorino Pata, (electronic resource)
Resource Information
The item Fixed Point Theorems and Applications, by Vittorino Pata, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Fixed Point Theorems and Applications, by Vittorino Pata, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This book addresses fixed point theory, a fascinating and farreaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master’s and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely selfcontained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis
 Language
 eng
 Edition
 1st ed. 2019.
 Extent
 XVII, 171 p. 1 illus.
 Contents

 1 The Banach contraction principle 7
 2 The BoydWongtheorem 13
 3 Further extensions of the contraction principle 16
 4 Weak contractions 23
 5 Contractions of εtype 29
 6 Sequences of maps and fixed points 36
 7 Fixed points of nonexpansive maps 39
 8 The Riesz mean ergodic theorem 42
 9 The Brouwer fixed point theorem 46
 10 The SchauderTychonoff fixed point theorem 50
 11 Further consequences of the SchauderTychonoff theorem 55
 12 TheMarkovKakutani theorem 60
 13 TheKakutaniKy Fan theorem 62
 14 The implicit function theorem 70
 15 Location of zeros 75
 16 Ordinary differential equations in Banach spaces 78
 17 The LaxMilgram lemma 89
 18 An abstract elliptic problem 97
 19 Semilinear evolution equations 101
 20 An abstract parabolic problem 108
 21 The invariant subspace problem 114
 22 Measure preserving maps on compact Hausdorff spaces 118
 23 Invariant means on semigroups 120
 24 Haar measures 123
 25 Game theory 130
 26 Problems
 Isbn
 9783030196707
 Label
 Fixed Point Theorems and Applications
 Title
 Fixed Point Theorems and Applications
 Statement of responsibility
 by Vittorino Pata
 Language
 eng
 Summary
 This book addresses fixed point theory, a fascinating and farreaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master’s and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely selfcontained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis
 http://library.link/vocab/creatorName
 Pata, Vittorino
 Dewey number
 515.7
 Image bit depth
 0
 LC call number
 QA319329.9
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink (Online service)
 Series statement
 La Matematica per il 3+2,
 Series volume
 116
 http://library.link/vocab/subjectName

 Functional analysis
 Partial differential equations
 Differential equations
 Topology
 Functional Analysis
 Partial Differential Equations
 Ordinary Differential Equations
 Topology
 Label
 Fixed Point Theorems and Applications, by Vittorino Pata, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1 The Banach contraction principle 7  2 The BoydWongtheorem 13  3 Further extensions of the contraction principle 16  4 Weak contractions 23  5 Contractions of εtype 29  6 Sequences of maps and fixed points 36  7 Fixed points of nonexpansive maps 39  8 The Riesz mean ergodic theorem 42  9 The Brouwer fixed point theorem 46  10 The SchauderTychonoff fixed point theorem 50  11 Further consequences of the SchauderTychonoff theorem 55  12 TheMarkovKakutani theorem 60  13 TheKakutaniKy Fan theorem 62  14 The implicit function theorem 70  15 Location of zeros 75  16 Ordinary differential equations in Banach spaces 78  17 The LaxMilgram lemma 89  18 An abstract elliptic problem 97  19 Semilinear evolution equations 101  20 An abstract parabolic problem 108  21 The invariant subspace problem 114  22 Measure preserving maps on compact Hausdorff spaces 118  23 Invariant means on semigroups 120  24 Haar measures 123  25 Game theory 130  26 Problems
 Control code
 9783030196707
 Dimensions
 unknown
 Edition
 1st ed. 2019.
 Extent
 XVII, 171 p. 1 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783030196707
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783030196707
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1129358627
 Label
 Fixed Point Theorems and Applications, by Vittorino Pata, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1 The Banach contraction principle 7  2 The BoydWongtheorem 13  3 Further extensions of the contraction principle 16  4 Weak contractions 23  5 Contractions of εtype 29  6 Sequences of maps and fixed points 36  7 Fixed points of nonexpansive maps 39  8 The Riesz mean ergodic theorem 42  9 The Brouwer fixed point theorem 46  10 The SchauderTychonoff fixed point theorem 50  11 Further consequences of the SchauderTychonoff theorem 55  12 TheMarkovKakutani theorem 60  13 TheKakutaniKy Fan theorem 62  14 The implicit function theorem 70  15 Location of zeros 75  16 Ordinary differential equations in Banach spaces 78  17 The LaxMilgram lemma 89  18 An abstract elliptic problem 97  19 Semilinear evolution equations 101  20 An abstract parabolic problem 108  21 The invariant subspace problem 114  22 Measure preserving maps on compact Hausdorff spaces 118  23 Invariant means on semigroups 120  24 Haar measures 123  25 Game theory 130  26 Problems
 Control code
 9783030196707
 Dimensions
 unknown
 Edition
 1st ed. 2019.
 Extent
 XVII, 171 p. 1 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783030196707
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783030196707
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1129358627
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/FixedPointTheoremsandApplicationsby/GhcSxcB8EoI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/FixedPointTheoremsandApplicationsby/GhcSxcB8EoI/">Fixed Point Theorems and Applications, by Vittorino Pata, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>