Applications of Nonlinear Analysis
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Beschreibung
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
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
Reinforces basic principles with new research, techniques, and applications Simplifies advanced theories and problems Features insight into a broad domain of research
Autor*in
Themistocles M. Rassias
Themen in »Applications of Nonlinear Analysis«
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