Fixed point theory and computational optimization are two dynamic research fields in pure and applied mathematics. They are the common interest in nonlinear functional analysis and operational research.

Fixed points of nonlinear operators and computational optimization, which have a close relation with matrix theory, nonlinear mathematical programming, variational analysis, set-valued analysis, nonsmooth analysis and convex analysis, have a lot of applications in medical sciences, economics, transportation, machine learning, etc. Iterative methods such as projection-gradient methods, steepest descent methods, and Newton methods are efficient for solving both nonlinear operator equations and various computational optimization problems from the viewpoint of computation. In addition, the development of fast iterative algorithms has attracted enormous interest, in particular, the inertial method, which is based on discrete versions of a second-order dissipative dynamic system. One of the common features is that the next iteration depends on the combination of the previous two iterations.

The objective of this Special Issue is to highlight recent trends in numerical solutions to various fixed point problems of non-expansive mappings, differential equations, differential inclusions, and computational optimization problems, such as saddle problems, variational inequality problems, equilibrium problems, complementary problems, etc. Original research and review articles are welcome.

Potential topics include but are not limited to the following:

• Fixed point theory of contractive mappings
• Monotone variational inequality problems
• Equilibrium problems
• Geometry of Banach spaces
• Multiobjective optimization problems
• Vector optimization problems
• Nonsmooth optimization
• Set-valued and variational analysis
• Fractional order differential equations and inclusions