Applications of Nonlinear Analysis
Themistocles M. Rassias
Hun 2018 · Springer Optimization and Its Applications · Springer
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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
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