Overview
- Reinforces basic principles with new research, techniques, and applications
- Simplifies advanced theories and problems
- Features insight into a broad domain of research
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 134)
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Table of contents (29 chapters)
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Front Matter
Keywords
- Nonlinear Analysis
- stability of Ulam type
- applications of γ-quasiconvexity
- fixed point theorem
- mixed variational problems
- processing big data
- Jensen's integral inequality
- inertial Mann algorithms
- nonexpansive mappings
- Ordering structures
- The Pilgerschritt (Liedl) transform on manifolds
- lubrication theory
- mathematical models
- nonlinear two parameter matrix eigenvalue problem
- Cauchy-Jensen additive mapping
- fuzzy Banach spaces
- Weighing Matrices
- nonlinear integro-differential equations
- Hilbert-type integral inequality
- ordinary differential equations
- partial differential equations
About this book
New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory.
Topics include:
- Fixed point theory
- Fixed-circle theory
- Coupled fixed points
- Nonlinear duality in Banach spaces
- Jensen's integral inequality and applications
- Nonlinear differential equations
- Nonlinear integro-differential equations
- Quasiconvexity, Stability of a Cauchy-Jensen additive mapping
- Generalizations of metric spaces
- Hilbert-type integral inequality, Solitons
- Quadratic functional equations in fuzzy Banach spaces
- Asymptotic orbits in Hill’sproblem
- Time-domain electromagnetics
- Inertial Mann algorithms
- Mathematical modelling
- Robotics
Editors and Affiliations
About the editor
Bibliographic Information
Book Title: Applications of Nonlinear Analysis
Editors: Themistocles M. Rassias
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-319-89815-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-89814-8Published: 18 July 2018
Softcover ISBN: 978-3-030-07866-9Published: 10 January 2019
eBook ISBN: 978-3-319-89815-5Published: 29 June 2018
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: XVI, 931
Number of Illustrations: 72 b/w illustrations
Topics: Calculus of Variations and Optimal Control; Optimization, Functional Analysis, Fourier Analysis, Ordinary Differential Equations, Partial Differential Equations