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An Introduction to Nonlinear Analysis and Fixed Point Theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Introduction to Nonlinear Analysis and Fixed Point Theory/ by Hemant Kumar Pathak.
作者:	Pathak, Hemant Kumar.
面頁冊數:	XXVII, 830 p. 29 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical analysis. -
電子資源:	https://doi.org/10.1007/978-981-10-8866-7
ISBN:	9789811088667

An Introduction to Nonlinear Analysis and Fixed Point Theory
Pathak, Hemant Kumar.

An Introduction to Nonlinear Analysis and Fixed Point Theory[electronic resource] /by Hemant Kumar Pathak. - 1st ed. 2018. - XXVII, 830 p. 29 illus.online resource.

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.

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.

ISBN: 9789811088667

Standard No.: 10.1007/978-981-10-8866-7doiSubjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

An Introduction to Nonlinear Analysis and Fixed Point Theory
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520 $a 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.
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