Manuscript Topics

Aim and Scope: Fixed point theory arisen from the Banach contraction principle has been studied for a long time. Its application mostly relies on the existence of solutions of mathematical problems that are formulated from economics and engineering. After the existence of solutions is guaranteed, the numerical methodology will be established to obtain the approximated solution. Fixed points of functions depend heavily on the considered spaces that are defined using the intuitive axioms. Especially, the variant metrics spaces are proposed like partial metric space, b-metric space, fuzzy metric space and probabilistic metric space, etc., Different spaces will result in the different types of fixed point theorems. In other words, there are a lot of different types of fixed point theorems in literature. Therefore, this special issue welcomes the survey articles. Especially, the articles that unify the different types of fixed point theorems are more welcome. The topics of this Special Issue include:

• fixed point theorems in metric space
• fixed point theorems in fuzzy metric space
• fixed point theorems in probabilistic metric space
• fixed point theorems of set-valued functions in various spaces
• the existence of solutions in game theory
• the existence of solutions for equilibrium problems
• the existence of solutions of differential equations
• the existence of solutions of integral equations
• numerical methods for obtaining the approximated fixed points

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