scholarly journals The generic stability of solutions for vector quasi-equilibrium problems on Hadamard manifolds

2020 ◽  
Vol 4 (3) ◽  
Keyword(s):  
Equilibrium Problems ◽  
Quasi Equilibrium ◽  
Hadamard Manifolds ◽  
Stability Of Solutions ◽  
Generic 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 Common Solution for a Finite Family of Equilibrium Problems, Quasi-Variational Inclusion Problems and Fixed Points on Hadamard Manifolds

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1161
Author(s):  
Jinhua Zhu ◽  
Jinfang Tang ◽  
Shih-sen Chang ◽  
Min Liu ◽  
Liangcai Zhao
Keyword(s):  
Fixed Point ◽  
Strong Convergence ◽  
Equilibrium Problems ◽  
Fixed Point Problem ◽  
Finite Family ◽  
Variational Inclusion ◽  
Point Problem ◽  
Hadamard Manifolds ◽  
Inclusion Problems ◽  
Common Solution

In this paper, we introduce an iterative algorithm for finding a common solution of a finite family of the equilibrium problems, quasi-variational inclusion problems and fixed point problem on Hadamard manifolds. Under suitable conditions, some strong convergence theorems are proved. Our results extend some recent results in literature.

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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