Generalized Vector Quasi-Equilibrium Problems

被引：0

作者：

Capata, Adela Elisabeta ^{[1
]}

机构：

[1] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400027, Romania

来源：

MATHEMATICS | 2024年 / 12卷 / 06期

关键词：

generalized vector quasi-equilibrium problem; transfer open-valued; upper C(x)-convex mapping; Browder-type fixed point theorem; continuous selection theorem; fuzzy mapping; EXISTENCE; INEQUALITY; THEOREMS; COINCIDENCE; CONVEXITY;

D O I：

10.3390/math12060809

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to present new existence results for solutions to a generalized quasi-equilibrium problem with set-valued mappings and moving cones. The key to this approach is a new Browder-type fixed point theorem, which permits working in a new direction with the milder condition of transfer open-valued mapping and considering weaker assumptions on the coving cone. These results are applied to some generalized vector quasi-equilibrium problems with trifunctions and to a vector quasi-equilibrium problem with fuzzy mappings in a fuzzy environment.

引用

页数：14

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