On the existence and essential components of solution sets for systems of generalized quasi-variational relation problems

被引:0
作者
Nguyen Van Hung
Phan Thanh Kieu
机构
[1] Dong Thap University,Department of Mathematics
来源
Journal of Inequalities and Applications | / 2014卷
关键词
system quasi-variational relation problems; existence; essential components; system quasi-variational inclusion problems; system vector quasi-equilibrium problems;
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摘要
In this paper, we study the existence of a solution for a system of quasi-variational relation problems (in short, (SQVR)). Moreover, we discuss the existence of essentially connected components of the solution set for (SQVR). Then the obtained results are applied to systems of quasi-variational inclusions and to systems of weak vector quasi-equilibrium problems. The results presented in the paper improve and extend many results from the literature. Some examples are given to illustrate our results.
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  • [1] Luc DT(2008)An abstract problem in variational analysis J. Optim. Theory Appl 138 65-76
  • [2] Agarwal RP(2012)A unifying approach to variational relation problems J. Optim. Theory Appl 155 417-429
  • [3] Balaj M(2008)Stability of solutions in parametric variational relation problems Set-Valued Anal 16 1015-1035
  • [4] O’Regan D(2013)Existence criteria for the solutions of two types of variational relation problems J. Optim. Theory Appl 156 232-246
  • [5] Khanh PQ(2010)On mixed variational relation problems Comput. Math. Appl 60 2712-2722
  • [6] Luc DT(2010)System of quasi-variational relations with applications Nonlinear Anal 72 1210-1220
  • [7] Balaj M(2012)Stability of solutions for variational relation problem with applications Nonlinear Anal 75 1758-1767
  • [8] Lin LJ(1950)Essential and nonessential fixed points Am. J. Math 72 315-322
  • [9] Balaj M(1952)On essential components of the set of fixed points Osaka J. Math 4 19-22
  • [10] Luc DT(2005)On existence and essential components of the solution set for the system of vector quasi-equilibrium problems Nonlinear Anal 63 2445-2452