Convergence analysis of solutions to fuzzy weak vector quasi-equilibrium problems and applications

Hung N. V., Vu Duy N. H., YAO J., Zeng S.

Journal of Computational and Applied Mathematics, vol.484, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 484
  • Publication Date: 2026
  • Doi Number: 10.1016/j.cam.2026.117502
  • Journal Name: Journal of Computational and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Keywords: Convergence, Fuzzy theory, Upper (lower) convergence, Vector quasi-optimization problems, Weak vector quasi-equilibrium problems
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

The goal of this paper is to study the convergence analysis of solution sets to fuzzy weak vector quasi-equilibrium problems. Firstly, we introduce some weak vector quasi-equilibrium problems in fuzzy environment. Secondly, we establish several sufficient conditions for the upper convergence for these problems. Thirdly, the auxiliary subsets of solution sets to fuzzy weak vector quasi-equilibrium problems and the concept of weakly K-quasi-concavity of the objective function are obtained. Results on the lower convergence and convergence of the solution sets based on the auxiliary subsets and the concept of weakly K-quasi-concavity for fuzzy weak vector quasi-equilibrium problems are established and studied. Finally, as an application, we consider the upper convergence, lower convergence and convergence of the solution sets of fuzzy vector quasi-optimization problems. Our results in this paper are new and different from some main results in the literature. Many examples are given for the illustration of our results.