Error Bounds for Generalized Mixed Vector Equilibrium Problems via a Minimax Strategy

2017 ◽  
Vol 6 (2) ◽  
pp. 317-331
Author(s):  
Chun-Rong Chen ◽  
Xia Chen ◽  
Hong-Zhi Wei ◽  
Sheng-Jie Li
Keyword(s):  
Error Bounds ◽  
Equilibrium Problems ◽  
Vector Equilibrium Problems ◽  
Minimax Strategy ◽  
Vector Equilibrium

scholarly journals Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone

2021 ◽  
Author(s):  
Nguyen Van Hung ◽  
Vicente Novo ◽  
Vo Minh Tam
Keyword(s):  
Partial Order ◽  
Error Bounds ◽  
Equilibrium Problems ◽  
Polyhedral Cone ◽  
Gap Functions ◽  
Vector Equilibrium Problems ◽  
Error Bound Analysis ◽  
Vector Equilibrium ◽  
Vector Valued Function ◽  
Regularized Gap Functions

AbstractThe aim of this paper is to establish new results on the error bounds for a class of vector equilibrium problems with partial order provided by a polyhedral cone generated by some matrix. We first propose some regularized gap functions of this problem using the concept of $$\mathcal {G}_{A}$$ G A -convexity of a vector-valued function. Then, we derive error bounds for vector equilibrium problems with partial order given by a polyhedral cone in terms of regularized gap functions under some suitable conditions. Finally, a real-world application to a vector network equilibrium problem is given to illustrate the derived theoretical results.

Sign in / Sign up

Export Citation Format

Share Document