Fixed-Point Theory and Its Related Topics, 5th Edition
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 30 June 2025 | Viewed by 13
Special Issue Editor
Interests: fuzzy sets; optimization; nonlinear analysis
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
This Special Issue is a continuation of the previous successful Special Issue series.
The fixed-point theory arose from the Banach contraction principle and has been studied for many years. Its application mostly relies on the existence of solutions to mathematical problems that are formulated in economics and engineering. Once the existence of the solutions has been guaranteed, the numerical methodology is established to obtain the approximated solution. Fixed points of function depend heavily on the spaces considered, which are defined using intuitive axioms. In addition, variant metrics spaces have been proposed, including a partial metric space, b-metric space, fuzzy metric space, and probabilistic metric space. Different spaces will result in different types of fixed-point theorems. In other words, many different types of fixed-point theorems have been proposed in the literature. Therefore, this Special Issue welcomes survey articles and articles that unify various types of fixed-point theorems. The scope of this Special Issue includes, but is not limited to, the following topics:
- 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
Guest Editor
Manuscript Submission Information
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Keywords
- fixed point
- best proximity point
- equilibrium
- Cauchy sequences
- completeness
- game theory
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Related Special Issue
- Fixed Point Theory and Its Related Topics IV in Axioms (18 articles)
