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.