Existence of solutions for generalized vector quasi-equilibrium problems

被引：0

作者：

X. B. Li

S. J. Li

机构：

[1] Chongqing University,College of Mathematics and Science

来源：

Optimization Letters | 2010年 / 4卷

关键词：

Generalized vector quasi-equilibrium problem; Weak type ; -diagonal quasi-convex and strong type ; -diagonal quasi-convex; Fan-KKM theorem; 49K30; 90C29;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper deals with three classes of generalized vector quasi-equilibrium problems with or without compact assumptions. Using the well-known Fan-KKM theorems, their existence theorems for them are established. Some examples are given to illustrate our results.

引用

页码：17 / 28

页数：11

共 50 条

[1] Existence of solutions for generalized vector quasi-equilibrium problems
Li, X. B.
Li, S. J.
[J]. OPTIMIZATION LETTERS, 2010, 4 (01) : 17 - 28
[2] Existence and Connectedness of Solutions for Generalized Vector Quasi-Equilibrium Problems
Han, Yu
Huang, Nan-Jing
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 179 (01) : 65 - 85
[3] The existence of solutions for the system of generalized vector quasi-equilibrium problems
Lin, Z
Yu, J
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (04) : 415 - 422
[4] Existence and Connectedness of Solutions for Generalized Vector Quasi-Equilibrium Problems
Yu Han
Nan-jing Huang
[J]. Journal of Optimization Theory and Applications, 2018, 179 : 65 - 85
[5] Some existence results for solutions of generalized vector quasi-equilibrium problems
Lai-Jiu Lin
Qamrul Hasan Ansari
Yu-Jen Huang
[J]. Mathematical Methods of Operations Research, 2007, 65 : 85 - 98
[6] Gap Functions and Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems
S. J. Li
K. L. Teo
X. Q. Yang
S. Y. Wu
[J]. Journal of Global Optimization, 2006, 34 : 427 - 440
[7] On the existence of solutions to generalized quasi-equilibrium problems
Truong Thi Thuy Duong
Nguyen Xuan Tan
[J]. Journal of Global Optimization, 2012, 52 : 711 - 728
[8] Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems with Discontinuous Mappings
Ya Ping FANG Nan Jing HUANG Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2006, 22 (04) : 1127 - 1132
[9] Existence of solutions to generalized vector quasi-equilibrium problems with discontinuous mappings
Fang, Ya Ping
Huang, Nan Jing
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (04) : 1127 - 1132
[10] Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
Li, SJ
Teo, KL
Yang, XQ
Wu, SY
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2006, 34 (03) : 427 - 440

← 1 2 3 4 5 →