Fixed-Point Theory: Methods, Properties, and Applications
This special issue belongs to the section “Mathematical Analysis“.
Special Issue Information
Dear Colleagues,
We are pleased to invite you to contribute to this Special Issue, entitled Fixed-Point Theory: Methods, Properties, and Applications.
Fixed-point theory, which plays a key role in mathematics, originated from Banach's contraction principle and has been extended in new directions. It is not only applied in mathematics but also in engineering, business administration, economics, finance, computer science, and many other fields. Many researchers have produced results that emphasize the importance of fixed-point theory. In particular, in recent years, the concept of various generalized metric spaces and the application of fixed-point theory and mathematical principles in such spaces have been actively studied. Fixed-point theory has led to critical theoretical breakthroughs not only in mathematics but also in a wide range of disciplines. Based on the continuous development of fixed-point theory, this Special Issue aims to capture the latest research achievements of researchers. We therefore invite researchers to submit original and high-quality research papers on fixed-point theory and its applications to this Special Issue.
The scope of this Special Issue includes, but is not limited to, the following topics:
- Fixed-point theory with applications;
- Best proximity point theory with applications;
- Fixed-point theory for single-valued and set-valued maps in various spaces with applications;
- Fixed-point theorems satisfying distinctive contractive conditions and their applications;
- Coincidence points and common fixed-points;
- Unique and non-unique fixed-point theory;
- Well-posedness in fixed-point theory;
- The existence of solutions for equilibrium problems;
- The existence of solutions of differential equations;
- The existence of solutions of integral equations.
We look forward to receiving your contributions.
Prof. Dr. Seong-Hoon Cho
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 250 words) can be sent to the Editorial Office for assessment.
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 points
- best proximity points
- Cauchy sequences
- completeness
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