This special issue is focused on the latest developments in nonlinear operator theory and its applications. Nonlinear operator theory falls within the general area of nonlinear functional analysis, an area which has been of increasing research interest in recent years. Nonlinear operator theory applies to diverse nonlinear problems in many areas such as differential equations, nonlinear ergodic theory, game theory, optimization problems, control theory, variational inequality problems, equilibrium problems, and split feasibility problems.

This special issue will reflect both the state-of-the-art theoretical research and important recent advances in applications. We are interested in high quality articles that will outline recent progress in this area of research. In addition to the topics listed below, high quality articles in new concepts, methods, algorithms, and applications of fixed point theory to various branches of science shall equally be entertained.

Potential topics include but are not limited to the following:

• Nonlinear ergodic theory and applications
• Semilinear control systems
• Optimization problems, equilibrium problems, split feasibility problems, and applications
• Convergence and stability of iterative algorithms
• Best approximation theorems in abstract spaces
• Best proximity theory in spaces
• Multivalued and monotone mappings in ordered sets
• Solutions of differential equations and differential inclusions
• Fixed point theory and its applications, which may include the following
  • Applications to logic programming and directed graphs
  • Metric spaces and generalized metric spaces
  • Implications of fixed point theory to asymptotic properties and optimization problems
  • Convergence and stability of Picard, Mann, and Ishikawa iteration