Recent Advances in Variational Inequalities and Optimization Theory
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 30 June 2027 | Viewed by 13
Special Issue Editor
Special Issue Information
Dear Colleagues,
Variational inequalities and optimization theory constitute important branches of modern applied mathematics and nonlinear analysis. They have broad applications in optimization, equilibrium theory, machine learning, signal processing, economics, engineering sciences, image processing, and data science. In recent years, substantial progress has been made in the development of new theoretical frameworks, efficient iterative algorithms, convergence analysis, and computational techniques for solving complex optimization and variational problems. At the same time, many challenging problems and emerging applications continue to stimulate active research in these fields.
We are pleased to invite researchers and practitioners to contribute to this Special Issue entitled “Recent Advances in Variational Inequalities and Optimization Theory”. This Special Issue aims to provide a platform for the dissemination of new theoretical results, innovative numerical methods, and practical applications related to variational inequalities and optimization theory.
The scope of this Special Issue is closely related to the aims and scope of the journal, focusing on mathematical theory, computational methods, and interdisciplinary applications. We particularly encourage submissions that present new methodologies, rigorous theoretical analysis, efficient algorithms, and real-world applications associated with optimization and variational models.
In this Special Issue, original research articles and review papers are welcome. Research topics may include (but are not limited to) the following:
- Variational inequality problems;
- Convex and nonconvex optimization;
- Equilibrium problems and saddle-point problems;
- Monotone operator theory;
- Fixed-point methods and applications;
- Projection and splitting algorithms;
- Extragradient and proximal methods;
- Iterative algorithms and convergence analysis;
- Fractional and nonsmooth optimization;
- Mathematical programming;
- Numerical optimization methods;
- Optimization in machine learning and data science;
- Signal and image processing applications;
- Applications in economics, engineering, and network systems.
We look forward to receiving your valuable contributions.
Dr. Bing Tan
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
- variational inequalities
- optimization theory
- fixed point methods
- equilibrium problems
- monotone operators
- iterative algorithms
- convex optimization
- extragradient methods
- nonlinear analysis
- numerical optimization
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