國立高雄大學圖資館 |

Language: English

Back

An introduction to nonlinear analysi...

Pathak, Hemant Kumar.

An introduction to nonlinear analysis and fixed point theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to nonlinear analysis and fixed point theoryby Hemant Kumar Pathak.
Author:	Pathak, Hemant Kumar.
Published:	Singapore :Springer Singapore :2018.
Description:	xxvii, 830 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Nonlinear theories.
Online resource:	http://dx.doi.org/10.1007/978-981-10-8866-7
ISBN:	9789811088667$q(electronic bk.)

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. - Singapore :Springer Singapore :2018. - xxvii, 830 p. :ill., digital ;24 cm.

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$q(electronic bk.)

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

182014
Nonlinear theories.

LC Class. No.: QA427 / .P384 2018

Dewey Class. No.: 515

An introduction to nonlinear analysis and fixed point theory
LDR:02987nmm a2200313 a 4500 001 538965
003 DE-He213
005 20181130155029.0
006 m d
007 cr nn 008maaau
008 190122s2018 si s 0 eng d
020 $a 9789811088667$q(electronic bk.)
020 $a 9789811088650$q(paper)
024 7 $a 10.1007/978-981-10-8866-7 $2 doi
035 $a 978-981-10-8866-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA427 $b .P384 2018
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515 $2 23
090 $a QA427 $b .P297 2018
100 1 $a Pathak, Hemant Kumar. $3 816307
245 1 3 $a An introduction to nonlinear analysis and fixed point theory $h [electronic resource] / $c by Hemant Kumar Pathak.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2018.
300 $a xxvii, 830 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
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.
650 0 $a Nonlinear theories. $3 182014
650 0 $a Fixed point theory. $3 206244
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Analysis. $3 273775
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-8866-7
950 $a Mathematics and Statistics (Springer-11649)