Symmetry in Fixed Point Theory and Optimization: Computations and Applications
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 20 March 2026 | Viewed by 3562
Special Issue Editor
2. Center of Excellence in Nonlinear Analysis and Optimization, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Interests: optimization algorithms and its applications
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Symmetry is a foundational concept that resonates through diverse areas of mathematics and computer science, providing deep insights into the structures and dynamics of many analytical and computational processes. In fixed point theory and optimization, including vector optimization, linear programming, variational inequalities, and equilibrium problems, symmetrical principles often guide iterative schemes, enhance convergence properties, and inspire new approaches to challenging questions in mathematics, engineering, and computational applications.
This Special Issue, titled “Symmetry in Fixed Point Theory and Optimization: Computations and Applications”, will highlight both theoretical breakthroughs and practical advances that capitalize on symmetrical frameworks. We welcome submissions that address, but are not limited to, the following:
- Symmetry in Fixed Point Theory
- Novel fixed point theorems exploiting symmetrical properties in various abstract spaces (metric, Banach, etc.);
- Convergence analyses of iterative schemes under symmetrical constraints;
- Fractional calculus approaches to fixed point problems.
- Symmetry in Optimization
- Symmetrical structures and formulations in constrained/unconstrained optimization, including vector optimization and linear programming;
- Variational inequalities and equilibrium problems that exploit symmetrical properties in their solution methodologies;
- Approximation algorithms and stochastic systems demonstrating symmetrical advantages.
- Computational Approaches
- Numerical methods, simulations, and software frameworks that utilize symmetry for improved convergence, reduced complexity, or more robust performance;
- Cross-disciplinary collaborations linking mathematics and computer science to develop or apply symmetrical techniques for computational challenges.
- Applications
- Symmetry-driven solutions in fields such as engineering, physics, finance, and machine learning;
- Case studies on how symmetry provides deeper insights, reduces computational overheads, or fosters innovative methodological developments;
- Broader impacts of symmetrical frameworks on modern computational science, algorithmic design, and data analysis.
We request original research articles, review articles, and short communications examining the influence and role of symmetry within the realms of fixed point theory, optimization, and computer science. By uniting experts across these domains, we will show how symmetrical considerations not only deepen theoretical understanding but also spark new applications and innovations.
We look forward to receiving valuable contributions that advance our understanding and utilization of symmetrical properties in fixed point theory and optimization.
Dr. Narin Petrot
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.
Keywords
- fixed point theory
- nonlinear analysis
- optimization (vector optimization, linear programming)
- equilibrium and variational inequality problems
- iterative algorithms
- fractional calculus
- stochastic systems
- approximation algorithms
- computer science
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