Special Issue "Nonlinear Optimization, Variational Inequalities and Equilibrium Problems"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 31 May 2020.

Special Issue Editor

Guest Editor
Prof. Dr. Mihai Postolache Website E-Mail
1. Department of General Education, China Medical University, 40402 Taichung, Taiwan
2. Department of Mathematics and Computer Science, University Politehnica of Bucharest, 060042 Bucharest, Romania
3. Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy, 050711 Bucharest, Romania
Interests: fixed point theory; continuous optimization; numerical algorithms

Special Issue Information

Dear Colleagues,

The scope of our Special Issue, titled Nonlinear Optimization, Variational Inequalities, and Equilibrium Problems, is to bring together outstanding theoretical contributions in these active research areas, with real world applications.

As we know, optimization theory, either in a continuous or discrete version, plays an important role in economy, finance, and engineering, where studies on equilibria, control, and efficiency are strongly required. Specific research topics herein contain—among others—single or vector optimization, best approximation, optimal control, and algorithms design. Variational inequalities offer a suitable framework for specific problems of optimization, and have applications at least to signal processing and transportation networks. Last, but not least, the equilibrium problem is important for nonlinear analysis and applied sciences when studying models in mathematical biology, economics, and game theory.

It is the purpose of this Special Issue to report the hot and significant results in the directions specified above. We will select and accept only high-quality papers, impeccably written and organized, containing original research results, with illustrative applications, and a limited number of survey articles of exceptional merit.

The research topics include, but are not limited to, the following:

  • Discrete or continuous optimization;
  • General variational inequalities;
  • Best approximation problems;
  • Equations with nonlinear operators;
  • Dynamical systems and applications;
  • Mathematically-oriented control;
  • Numerical mathematics and analysis;
  • Algorithms for image encoding and recovery.

Prof. Dr. 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 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 1200 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.

Published Papers (1 paper)

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Research

Open AccessArticle
Inertial Method for Bilevel Variational Inequality Problems with Fixed Point and Minimizer Point Constraints
Mathematics 2019, 7(9), 841; https://doi.org/10.3390/math7090841 - 11 Sep 2019
Abstract
In this paper, we introduce an iterative scheme with inertial effect using Mann iterative scheme and gradient-projection for solving the bilevel variational inequality problem over the intersection of the set of common fixed points of a finite number of nonexpansive mappings and the [...] Read more.
In this paper, we introduce an iterative scheme with inertial effect using Mann iterative scheme and gradient-projection for solving the bilevel variational inequality problem over the intersection of the set of common fixed points of a finite number of nonexpansive mappings and the set of solution points of the constrained optimization problem. Under some mild conditions we obtain strong convergence of the proposed algorithm. Two examples of the proposed bilevel variational inequality problem are also shown through numerical results. Full article
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