Applications of Nonlinear Analysis

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.