An Introduction to Nonlinear Analysis and Fixed Point Theory

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,...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Pathak, Hemant Kumar (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2018.
Έκδοση:1st ed. 2018.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03624nam a2200445 4500
001 978-981-10-8866-7
003 DE-He213
005 20191023122524.0
007 cr nn 008mamaa
008 180519s2018 si | s |||| 0|eng d
020 |a 9789811088667  |9 978-981-10-8866-7 
024 7 |a 10.1007/978-981-10-8866-7  |2 doi 
040 |d GrThAP 
050 4 |a QA299.6-433 
072 7 |a PBK  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
072 7 |a PBK  |2 thema 
082 0 4 |a 515  |2 23 
100 1 |a Pathak, Hemant Kumar.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 3 |a An Introduction to Nonlinear Analysis and Fixed Point Theory  |h [electronic resource] /  |c by Hemant Kumar Pathak. 
250 |a 1st ed. 2018. 
264 1 |a Singapore :  |b Springer Singapore :  |b Imprint: Springer,  |c 2018. 
300 |a XXVII, 830 p. 29 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
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 Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 1 4 |a Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M12007 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9789811088650 
776 0 8 |i Printed edition:  |z 9789811088674 
776 0 8 |i Printed edition:  |z 9789811342615 
856 4 0 |u https://doi.org/10.1007/978-981-10-8866-7  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)