Research in Fixed Point Theory and Its Applications
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 31 March 2026 | Viewed by 61
Special Issue Editor
Interests: pure mathematics; mathematical analysis; topology; fixed point theory; machine learning
Special Issue Information
Dear Colleagues,
Fixed point theory stands as a cornerstone in various mathematical disciplines such as topology, functional analysis, and nonlinear analysis. It serves as a fundamental tool in dynamic optimization, optimal control, solution of partial or random differential equations, differential and integral equations theory, and approximation schemes for functional equations. The applications of fixed-point theory span across diverse fields, including engineering, biological systems, management, economics, finance, and computer science, among others.
In recent years, there has been a surge in the development and utilization of generalized metric spaces to model various phenomena across different domains. These generalizations have found applications in integral equations, fixed-point theorems for both single-valued and set-valued maps, and in principles, like Ekeland’s variational principle.
This Special Issue of the journal seeks to gather review, expository, and original research papers that delve into the cutting-edge advancements in fixed point theory and its applications across physical, natural, computational, environmental, engineering, and statistical sciences. Topics of interest include, but are not limited to, the following:
- Metric Spaces;
- Fixed Point Theorems;
- Well-posedness Stability;
- Optimization;
- Dynamic Programming Fluid Mechanics;
- Numerical and Computational Methods;
- Mathematical Physics;
- Mathematics in Biology;
- Mathematics in Biology Contractive Mappings.
We cordially invite submissions that explore these areas and their intersections with fixed point theory.
Dr. Abdelkader Belhenniche
Guest Editor
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- metric spaces
- fixed point theory
- stability
- optimization and optimal control
- machine learning
- numerical and computational methods
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