Fixed point theory is a beneficial resource for the research and study of nonlinear analysis, optimization theory, and variational inequalities. In the last few decades, the problem of nonlinear analysis with its relation to fixed point theory has emerged as a rapidly growing area of research because of its applications in game theory, optimization problem, control theory, integral and differential equations and inclusions, dynamic systems theory, signal and image processing, and so on. On the other hand, one of interesting properties of Banach spaces is fixed point property (FPP) and weak fixed point property (WFPP). Hilbert spaces, uniformly convex Banach spaces, or, more generally, reflexive Banach spaces with normal structure have the FPP.

Due to the importance of fixed point theory and its applications and the geometrical properties FPP and WFPP, it is worthwhile to publish a special issue on this topic to highlight recent advances made by mathematicians actively working in this area.

The purpose of this special issue is to promote research in the field of fixed point theory with applications to fractional differential and integral equations. This special issue will focus on fixed point theorems concerning generalized contractions and will accept good quality papers containing original research results with exceptional merit.

Potential topics include but are not limited to the following:

• Fixed point theory and its applications
• Engineering applications of fixed point theory
• Mathematical modeling 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 FPP