Coverart for item
The Resource Fixed Point Theorems and Applications, by Vittorino Pata, (electronic resource)

Fixed Point Theorems and Applications, by Vittorino Pata, (electronic resource)

Label
Fixed Point Theorems and Applications
Title
Fixed Point Theorems and Applications
Statement of responsibility
by Vittorino Pata
Creator
Contributor
Subject
Language
eng
Summary
This book addresses fixed point theory, a fascinating and far-reaching 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 self-contained, 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
Member of
Is part of
http://library.link/vocab/creatorName
Pata, Vittorino
Dewey number
515.7
Image bit depth
0
LC call number
QA319-329.9
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)
Link
https://doi.org/10.1007/978-3-030-19670-7
Instantiates
Publication
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 Boyd-Wongtheorem 13 -- 3 Further extensions of the contraction principle 16 -- 4 Weak contractions 23 -- 5 Contractions of ε-type 29 -- 6 Sequences of maps and fixed points 36 -- 7 Fixed points of non-expansive maps 39 -- 8 The Riesz mean ergodic theorem 42 -- 9 The Brouwer fixed point theorem 46 -- 10 The Schauder-Tychonoff fixed point theorem 50 -- 11 Further consequences of the Schauder-Tychonoff theorem 55 -- 12 TheMarkov-Kakutani theorem 60 -- 13 TheKakutani-Ky Fan theorem 62 -- 14 The implicit function theorem 70 -- 15 Location of zeros 75 -- 16 Ordinary differential equations in Banach spaces 78 -- 17 The Lax-Milgram 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
978-3-030-19670-7
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
10.1007/978-3-030-19670-7
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)
Link
https://doi.org/10.1007/978-3-030-19670-7
Publication
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 Boyd-Wongtheorem 13 -- 3 Further extensions of the contraction principle 16 -- 4 Weak contractions 23 -- 5 Contractions of ε-type 29 -- 6 Sequences of maps and fixed points 36 -- 7 Fixed points of non-expansive maps 39 -- 8 The Riesz mean ergodic theorem 42 -- 9 The Brouwer fixed point theorem 46 -- 10 The Schauder-Tychonoff fixed point theorem 50 -- 11 Further consequences of the Schauder-Tychonoff theorem 55 -- 12 TheMarkov-Kakutani theorem 60 -- 13 TheKakutani-Ky Fan theorem 62 -- 14 The implicit function theorem 70 -- 15 Location of zeros 75 -- 16 Ordinary differential equations in Banach spaces 78 -- 17 The Lax-Milgram 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
978-3-030-19670-7
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
10.1007/978-3-030-19670-7
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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