Generalized Implicit Strong Vector Equilibrium Problem with Vector Relaxed Monotonicity

2017 ◽  
Vol 6 (3) ◽  
pp. 293-298
Author(s):  
Mijanur Rahaman ◽  
Rais Ahmad
Keyword(s):  
Equilibrium Problem ◽  
Vector Equilibrium Problem ◽  
Vector Equilibrium ◽  
Strong Vector Equilibrium Problem

scholarly journals Lower semicontinuity of approximate solution mappings for a parametric generalized strong vector equilibrium problem

Filomat ◽  
2019 ◽  
Vol 33 (6) ◽  
pp. 1641-1648
Author(s):  
Qilin Wang ◽  
Liu He ◽  
Xiaobing Li
Keyword(s):  
Approximate Solution ◽  
Equilibrium Problem ◽  
Lower Semicontinuity ◽  
Vector Equilibrium Problem ◽  
Convex Mappings ◽  
Solution Mapping ◽  
Vector Equilibrium ◽  
Approximate Solution Mapping ◽  
Strong Vector Equilibrium Problem

In this paper, by using a property of convex mappings, one establishes the lower semicontinuity of the approximate solution mapping to a parametric generalized strong vector equilibrium problem without these assumptions about monotonicity and compactness. Our proof approach is different from the ones in the literature.

scholarly journals Existence Theorems ofε-Cone Saddle Points for Vector-Valued Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Tao Chen
Keyword(s):  
Saddle Point ◽  
Existence Theorem ◽  
Equilibrium Problem ◽  
Existence Result ◽  
Existence Theorems ◽  
Saddle Points ◽  
Vector Equilibrium Problem ◽  
Saddle Point Theorem ◽  
Vector Equilibrium ◽  
Vector Valued

A new existence result ofε-vector equilibrium problem is first obtained. Then, by using the existence theorem ofε-vector equilibrium problem, a weaklyε-cone saddle point theorem is also obtained for vector-valued mappings.

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