As one of the most dynamic areas of research in the last 50 years, fixed point theory plays a basic role in several theoretical and applied fields of mathematics, such as nonlinear analysis, integral and differential equations and inclusions, dynamical system theory, mathematics of fractals, mathematical economics (game theory, equilibrium problems, and optimization problems), and mathematical modeling.

On the other hand, some of the interesting properties of Banach spaces are their fixed point and weak fixed point properties. Hilbert spaces and uniformly convex Banach spaces or, more generally, reflexive Banach spaces with normal structure have these fixed point properties. Due to the importance of fixed point theory and its applications, it is worthwhile to highlight recent advances made by mathematicians actively working in fixed point theory.

This special issue aims to collect original research and review articles with a focus on the latest advancements in fixed point theory and its various applications to pure, applied, and computational mathematics.

Potential topics include but are not limited to the following:

• Fixed point approximations
• Nonlinear optimization and global optimization
• Engineering applications of fixed point theory
• Mathematical modelling via fixed point theory approaches
• Convergence of iterative approximations and applications
• Coincidence point theory and applications
• Fractional differential and integral equations
• Operator equations and inclusion problems
• Open problems related to fixed point property.