Variational Problems and Applications, 3rd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Dynamical Systems".

Deadline for manuscript submissions: 21 April 2025 | Viewed by 666

Special Issue Editor

Special Issue Information

Dear Colleagues,

In recent decades, interest in variational (interval/fuzzy) analysis and robust control has significantly increased among researchers. Various approaches have been proposed to formulate the necessary and sufficient optimality/efficiency conditions and duality theorems for different classes of robust and interval-valued/fuzzy variational problems.

This third edition of the Special Issue "Variational Problems and Applications" aims to further develop research in this dynamic field. We invite studies focused on uncertain variational problems, particularly those that formulate and demonstrate characterization results of well-posedness and robust efficient solutions. This Special Issue seeks to explore new classes of (multiobjective) variational (control) problems governed by multiple and/or path-independent curvilinear integral cost functionals, as well as robust mixed and/or isoperimetric constraints involving first- and second-order partial differential equations.

We welcome submissions on related subjects, including but not limited to:

  • Variational inequalities;
  • Evolutionary problems;
  • Robust control theory;
  • Interval/fuzzy analysis;
  • Multiobjective optimization;
  • Curvilinear integral cost functionals;
  • First- and second-order partial differential equations;
  • Isoperimetric constraints.

We invite you to publish your latest research findings in this Special Issue, contributing to the advancement of knowledge in the field of variational problems and their applications.

Prof. Dr. Savin Treanta
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • optimization problems
  • optimal control
  • variational problems
  • well-posedness
  • partial differential equations
  • generalized convexity
  • dynamical systems

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue polices can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

24 pages, 348 KiB  
Article
Constraint Qualifications and Optimality Conditions for Multiobjective Mathematical Programming Problems with Vanishing Constraints on Hadamard Manifolds
by Balendu Bhooshan Upadhyay, Arnav Ghosh, Savin Treanţă and Jen-Chih Yao
Mathematics 2024, 12(19), 3047; https://doi.org/10.3390/math12193047 - 28 Sep 2024
Cited by 1 | Viewed by 511
Abstract
In this paper, we investigate constraint qualifications and optimality conditions for multiobjective mathematical programming problems with vanishing constraints (MOMPVC) on Hadamard manifolds. The MOMPVC-tailored generalized Guignard constraint qualification (MOMPVC-GGCQ) for MOMPVC is introduced in the setting of Hadamard manifolds. By employing MOMPVC-GGCQ and [...] Read more.
In this paper, we investigate constraint qualifications and optimality conditions for multiobjective mathematical programming problems with vanishing constraints (MOMPVC) on Hadamard manifolds. The MOMPVC-tailored generalized Guignard constraint qualification (MOMPVC-GGCQ) for MOMPVC is introduced in the setting of Hadamard manifolds. By employing MOMPVC-GGCQ and the intrinsic properties of Hadamard manifolds, we establish Karush–Kuhn–Tucker (KKT)-type necessary Pareto efficiency criteria for MOMPVC. Moreover, we introduce several MOMPVC-tailored constraint qualifications and develop interrelations among them. In particular, we establish that the MOMPVC-tailored constraint qualifications introduced in this paper turn out to be sufficient conditions for MOMPVC-GGCQ. Suitable illustrative examples are furnished in the framework of well-known Hadamard manifolds to validate and demonstrate the importance and significance of the derived results. To the best of our knowledge, this is the first time that constraint qualifications, their interrelations, and optimality criteria for MOMPVC have been explored in the framework of Hadamard manifolds. Full article
(This article belongs to the Special Issue Variational Problems and Applications, 3rd Edition)
Show Figures

Figure 1

Back to TopTop