![](https://media.springernature.com/w215h120/springer-static/image/art%3Aplaceholder%2Fimages/placeholder-figure-springernature.png)
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)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
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
Similar content being viewed by others
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
Table of contents (29 chapters)
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