Symmetry in Variational Inequality Problems and Fixed Point Theory and Their Applications
A special issue of Symmetry (ISSN 2073-8994).
Deadline for manuscript submissions: 28 February 2026 | Viewed by 40
Special Issue Editor
Interests: variational inequalities; fixed-point theory; minimax problems; optimization problems; variational inclusions; predict methods in statistics; prediction by applied mathematical algorithms; machine learnings; artificial intelligence; predict algorithms with applications in health care including heart disease
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Variational inequalities introduced in the early sixties have witnessed an explosive growth in theoretical advances, algorithmic development, and applications across all the disciplines of pure and applied sciences, combining novel theoretical and algorithmic advances with new domains of applications. Analyzing these problems requires a blend of techniques from convex analysis to functional analysis and numerical analysis. As a result of the interaction between different branches of mathematical and engineering sciences, including statistics options with machine learnings in artificial intelligence, we now have a variety of techniques to suggest and analyze various numerical methods such as projection technique and its variant forms, auxiliary principle, and Wiener–Hopf equations for solving variational inequalities and related optimization problems.
A main and basic idea is to establish the equivalence between the variational inequalities and the fixed point problems. This alternative equivalence has been used to develop various kinds of iterative methods for solving variational inequalities and related optimization.
These algorithms have witnessed great progress in recent years to handle optimization and inverse problems, along with problems related to differential equations.
We invite investigators to contribute original research articles as well as comprehensive.
Potential topics include, but are not limited to, the following:
- Numerical methods for (general) variational inequalities and inclusions, nonlinear equations, fixed point problems, and systems of variational inequalities and inclusions;
- Split feasibility problems;
- Common problems associated with variational inequalities and fixed point problems;
- Proximal point algorithms;
- Numerical comparisons;
- Stability of numerical methods;
- Variational inequalities;
- Fixed point theory;
- Minimax problems;
- Optimization problems;
- Variational inclusions;
- Predict methods in statistics;
- Predict algorithms by applied mathematical algorithms;
- Machine learnings;
- Artificial intelligence;
- Predict algorithms with applications in health care including heart disease, etc.
Prof. Dr. Zhenyu Huang
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
- variational inequalities
- fixed point theory
- minimax problems
- optimization problems
- variational inclusions
- predict methods in statistics
- predict algorithms by applied mathematical algorithms
- machine learnings
- artificial intelligence
- predict algorithms with applications in health care including heart disease
- common problems associated with variational inequalities and fixed point problems
- proximal point algorithms
- numerical comparisons
- stability of numerical methods
- symmetry
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