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