Special Issue "Fixed Point Theory and Related Topics"
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (31 January 2020).
A printed edition of this Special Issue is available here.
Interests: fuzzy optimization; fuzzy real analysis; fuzzy statistical analysis; operations research; computational intelligence; soft computing; fixed point theory; applied functional analysis
Special Issues and Collections in MDPI journals
Special Issue in Mathematics: Nonlinear Analysis Using Fuzzy Mathematics
Special Issue in Mathematics: Nonlinear and Convex Analysis
Special Issue in Mathematics: Numerical Methods for Mathematical Programming Problems
Fixed point theory arose from the Banach contraction principle and has been studied for a long time. Its application mostly relies on the existence of solutions to mathematical problems that are formulated from economics and engineering. After the existence of the solutions is guaranteed, the numerical methodology will be established to obtain the approximated solution. Fixed points of function depend heavily on the considered spaces that are defined using the intuitive axioms. In particular, variant metrics spaces are proposed, like a partial metric space, b-metric space, fuzzy metric space and probabilistic metric space, etc. Different spaces will result in different types of fixed point theorems. In other words, there are a lot of different types of fixed point theorems in the literature. Therefore, this Special Issue welcomes survey articles. Articles that unify the different types of fixed point theorems are also very 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
Prof. Dr. Hsien-Chung Wu
Manuscript Submission Information
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- Fixed Point
- Best Proximity Point
- Cauchy Sequences
- Game Theory