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
 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 DunfordPettis property. They also address under which conditions a 2×2 block operator matrix with single and multivalued 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, twodimensional boundaryvalue 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
 Language
 eng
 Edition
 1st ed.
 Extent
 1 online resource (369 pages)
 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: TwoDimensional Boundary Value Problems
 Bibliography
 Back Cover
 Isbn
 9781498733892
 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
 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 DunfordPettis property. They also address under which conditions a 2×2 block operator matrix with single and multivalued 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, twodimensional boundaryvalue 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
 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
 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
 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: TwoDimensional 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=ebscotest&password=ebscotest
 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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