An introduction to nonlinear analysis and fixed point theory / Hemant Kumar Pathak.
Pathak, Hemant Kumar, author.
2018
QA427
Available Online

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Title An introduction to nonlinear analysis and fixed point theory / Hemant Kumar Pathak.
Author Pathak, Hemant Kumar, author.
ISBN 9789811088667 (electronic book)
9811088667 (electronic book)
9789811088650
9811088659
DOI https://doi.org/10.1007/978-981-10-8866-7
Published Singapore : Springer, 2018.
Language English
Description 1 online resource (xxvii, 830 pages) : illustrations
Item Number 10.1007/978-981-10-8866-7 doi
Call Number QA427
Dewey Decimal Classification 515
Summary This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and inclusions. The book presents surjectivity theorems, variational inequalities, stochastic game theory and mathematical biology, along with a large number of applications of these theories in various other disciplines. Nonlinear analysis is characterised by its applications in numerous interdisciplinary fields, ranging from engineering to space science, hydromechanics to astrophysics, chemistry to biology, theoretical mechanics to biomechanics and economics to stochastic game theory. Organised into ten chapters, the book shows the elegance of the subject and its deep-rooted concepts and techniques, which provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in diverse applied fields. It is intended for graduate and undergraduate students of mathematics and engineering who are familiar with discrete mathematical structures, differential and integral equations, operator theory, measure theory, Banach and Hilbert spaces, locally convex topological vector spaces, and linear functional analysis.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed May 21, 2018).
Available in Other Form Print version: 9789811088650
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Chapter 1. Fundamentals
Chapter 2. Geometry in Banach Spaces and Duality Mappings
Chapter 3. Differential Calculus in Banach Spaces
Chapter 4. Monotone Operators, Phi-accretive Operators and Their Generalizations
Chapter 5. Fixed Point Theorems
Chapter 6. Degree Theory, K-Set Contractions and Condensing Operators
Chapter 7. Random Fixed Point Theory and Monotone Operators
Chapter 8. Applications of Monotone Operator Theory to Differential and Integral Equations
Chapter 9. Applications of Fixed Point Theorems
Chapter 10. Applications of Fixed Point Theorems for Multifunction to Integral Inclusions.

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