Applications of Nonlinear Analysis

Themistocles M. Rassias

2018년 6월 · 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

Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.