scholarly journals EXISTENCE AND STABILITY OF SOLUTIONS FOR GENERALIZED SYMMETRIC STRONG VECTOR QUASI-EQUILIBRIUM PROBLEMS

2012 ◽  
Vol 16 (3) ◽  
pp. 941-962 ◽  
Author(s):  
Bin Chen ◽  
Nan-jing Huang ◽  
Ching-Feng Wen
Keyword(s):  
Equilibrium Problems ◽  
Quasi Equilibrium ◽  
Stability Of Solutions ◽  
Existence And Stability

scholarly journals The existence and stability of solutions for symmetric generalized quasi-variational inclusion problems

Filomat ◽  
2015 ◽  
Vol 29 (9) ◽  
pp. 2147-2165 ◽  
Author(s):  
Lam Anh ◽  
Hung van
Keyword(s):  
Equilibrium Problems ◽  
Existence Theorems ◽  
Variational Inclusion ◽  
Quasi Equilibrium ◽  
Stability Of Solutions ◽  
Inclusion Problems ◽  
Solution Sets ◽  
Existence And Stability ◽  
The Stability

In this paper, we study the symmetric generalized quasi-variational inclusion problems. Then, we establish some existence theorems of solution sets for these problems. Moreover, the stability of solutions for these problems are also onbtained. Finally, we apply these results to symmetric vector quasi-equilibrium problems. The results presented in this paper improve and extend the main results in the literature. Some examples are given to illustrate our results.

scholarly journals The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Qi-Qing Song
Keyword(s):  
Equilibrium Problem ◽  
Existence Result ◽  
Quasi Equilibrium ◽  
Topological Order ◽  
Stability Of Solutions ◽  
Maximal Elements ◽  
Quasiequilibrium Problems ◽  
Existence And Stability ◽  
Essential Set ◽  
Vector Quasiequilibrium Problems

In a topological sup-semilattice, we established a new existence result for vector quasiequilibrium problems. By the analysis of essential stabilities of maximal elements in a topological sup-semilattice, we prove that for solutions of each vector quasi-equilibrium problem, there exists a connected minimal essential set which can resist the perturbation of the vector quasi-equilibrium problem.

scholarly journals On the existence and stability of solutions to stochastic equilibrium problems

2020 ◽  
Author(s):  
Anh Quoc Lam ◽  
Hai Xuan Nguyen ◽  
Kien Trung Nguyen ◽  
Quan Hong Nguyen ◽  
Dang Thi My Van
Keyword(s):  
Stochastic Optimization ◽  
Equilibrium Problems ◽  
Existence Of Solutions ◽  
Optimization Problems ◽  
Lower Semicontinuous ◽  
Probability Measures ◽  
Stability Of Solutions ◽  
Stochastic Equilibrium ◽  
Special Cases ◽  
Existence And Stability

In this paper we consider stochastic equilibrium problems involving parameter of probability measures. Employing KKM-Fan xed point theorem, conditions for the existence of solutions to such problems are established. We then propose new metric concepts on the underlying stochastic spaces and study some properties corresponding to these metrics. Afterwards, we study sucient conditions for the solution mappings of such problems, that are closed, upper (lower) semicontinuous and continuous with respect to the mentioned metrics. Finally, the special cases of stochastic optimization problems are taken into account as the applications.

A Newton-type method for quasi-equilibrium problems and applications

Optimization ◽  
2021 ◽  
pp. 1-26
Author(s):  
Pedro Jorge S. Santos ◽  
Paulo Sérgio M. Santos ◽  
Susana Scheimberg
Keyword(s):  
Equilibrium Problems ◽  
Quasi Equilibrium ◽  
Type Method
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