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The Resource Nonlinear Functional Analysis in Banach Spaces and Banach Algebras : Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications

Nonlinear Functional Analysis in Banach Spaces and Banach Algebras : Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications

Label
Nonlinear Functional Analysis in Banach Spaces and Banach Algebras : Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications
Title
Nonlinear Functional Analysis in Banach Spaces and Banach Algebras
Title remainder
Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications
Creator
Contributor
Subject
Language
eng
Summary
Uncover the Useful Interactions of Fixed Point Theory with Topological Structures Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices with nonlinear entries in Banach spaces and Banach algebras. The book provides researchers and graduate students with a unified survey of the fundamental principles of fixed point theory in Banach spaces and algebras. The authors present several extensions of Schauder's and Krasnosel'skii's fixed point theorems to the class of weakly compact operators acting on Banach spaces and algebras, particularly on spaces satisfying the Dunford-Pettis property. They also address under which conditions a 2×2 block operator matrix with single- and multi-valued nonlinear entries will have a fixed point. In addition, the book describes applications of fixed point theory to a wide range of diverse equations, including transport equations arising in the kinetic theory of gas, stationary nonlinear biological models, two-dimensional boundary-value problems arising in growing cell populations, and functional systems of integral equations. The book focuses on fixed point results under the weak topology since these problems involve the loss of compactness of mappings and/or the missing geometric and topological structure of their underlying domain
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Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Series volume
v.12
Nonlinear Functional Analysis in Banach Spaces and Banach Algebras : Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications
Label
Nonlinear Functional Analysis in Banach Spaces and Banach Algebras : Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=2127172
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Cover -- Contents -- Preface -- Symbol Description -- Part I: Fixed Point Theory -- Introduction -- Chapter 1: Fundamentals -- Chapter 2: Fixed Point Theory under Weak Topology -- Chapter 3: Fixed Point Theory in Banach Algebras -- Chapter 4: Fixed Point Theory for BOM on Banach Spaces and Banach Algebras -- Part II: Applications in Mathematical Physics and Biology -- Chapter 5: Existence of Solutions for Transport Equations -- Chapter 6: Existence of Solutions for Nonlinear Integral Equations -- Chapter 7: Two-Dimensional Boundary Value Problems -- Bibliography -- Back Cover
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781498733892&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3815995'}
Edition
1st ed.
Extent
1 online resource (369 pages)
Form of item
online
Isbn
9781498733892
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

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