Special Issue "Recent Advances in Fixed Point and Best Proximity Point Problems and Their Applications"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: 31 December 2019
Prof. Ing-Jer Lin
The main goal of this Special Issue is to gather the recent results and discussion around reseach in nonlinear (functional) analysis, with a particular interest in the improvements to the theoretical side of fixed point theory that may play a crucial role in the solution of real-world problems.
The fixed point $f(x) = x$ equation is equivalent to F(x) = 0 where F(x) = x − f(x). Thus, the concrete solution of such equations takes "fixed point theory" into account. In cases where it is not possible to solve such a problem, any approximative solution is also worth considering and can be identified through the best proximity point theory. Roughly speaking, best proximity means the minimal value of d(x,f(x)) if f(x) is not equal to x.
These approaches help us to overcome the difficulties arising in the study and computational simulation of nonlinear analysis. For the solution of the problems and/or to identify better solutions, researcher refine the existing axioms and requirements. In this Special Issue, we aim to explore the trends in the solutions of real-world problem, in particular by using the fixed/best-proximity point theory.
Topics for this mini symposium include, but are not limited to:
- Fixed point of continuous and discontinuous mapping;
- Existence and uniqueness of the solution of the equation F(x) = 0 = x − f(x);
- Characterization of completeness for abstract spaces;
- Iterative methods for the nonexpansive-type mappings;
- Examination of different types of contractions.
Prof. Chi-Ming Chen
Prof. Ing-Jer Lin
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 papers will be 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. Mathematics 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 850 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.
- Fixed point of single and multivalued mappings
- Best proximity point of single and multivalued mappings
- Distinct contractions
- Applications of fixed point results