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

共 50 条

[1] Generalized vector quasi-equilibrium problems
Jun-Yi Fu
[J]. Mathematical Methods of Operations Research, 2000, 52 : 57 - 64
[2] Generalized vector quasi-equilibrium problems
Fu, JY
[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2000, 52 (01) : 57 - 64
[3] Generalized vector quasi-equilibrium problems
Li, SJ
Teo, KL
Yang, XQ
[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2005, 61 (03) : 385 - 397
[4] Generalized vector quasi-equilibrium problems
S. J. Li
K. L. Teo
X. Q. Yang
[J]. Mathematical Methods of Operations Research, 2005, 61 : 385 - 397
[5] Generalized vector quasi-equilibrium problems with applications
Ansari, QH
Flores-Bazán, F
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (01) : 246 - 256
[6] Generalized vector quasi-equilibrium problems on Hadamard manifolds
Li, Xia-bo
Huang, Nan-jing
[J]. OPTIMIZATION LETTERS, 2015, 9 (01) : 155 - 170
[7] Existence of solutions for generalized vector quasi-equilibrium problems
Li, X. B.
Li, S. J.
[J]. OPTIMIZATION LETTERS, 2010, 4 (01) : 17 - 28
[8] The Study of the System of Generalized Vector Quasi-equilibrium Problems
Zhi Lin
[J]. Journal of Global Optimization, 2006, 36 : 627 - 635
[9] Existence of solutions for generalized vector quasi-equilibrium problems
X. B. Li
S. J. Li
[J]. Optimization Letters, 2010, 4 : 17 - 28
[10] Existences of solutions for generalized vector quasi-equilibrium problems
Li, S. J.
Zeng, J.
[J]. OPTIMIZATION LETTERS, 2008, 2 (03) : 341 - 349

← 1 2 3 4 5 →