Numerical Algorithms for Fixed Point Problems and Applications
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (31 December 2020) | Viewed by 1813
Special Issue Editor
Interests: fixed point theory; continuous optimization; numerical algorithms
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
As we know, fixed-point theory is a research domain founded on axiomatic framework basically including symmetry, even if we consider metric spaces or quasi-metric spaces. This theory is relevant for existence and uniqueness problems arising in applied sciences such as economics, optimization, and theoretical physics. Once the existence of fixed points for classes of operators is established, numerical algorithms for reckoning them are strongly required. Generally, a numerical algorithm is a mathematical procedure for arriving at a result by repeating rounds of analysis or a cycle of operations. Algorithms produce numerical solutions to classes of problems of nonlinear analysis, including fixed-point problems, where analytical methods may fail, such as in the following cases:
① Approximating zeros of complex polynomials;
② General variational inequalities;
③ Split feasibility problems;
④ Finding solutions to constrained optimization problems;
⑤ Best approximation;
⑥ Designing algorithms for signal processing;
⑦ Image restoration or/and encoding.
That is why numerical reckoning of fixed points for classes of nonlinear operators is currently an active research direction of computational analysis. For this Special Issue, we invite and welcome contributions from leaders of these research areas with known results in numerical analysis, optimization theory, and computer mathematics. A very limited number of survey papers will be accepted.
Prof. Mihai Postolache
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. Symmetry 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.
