scholarly journals Second-Order characterizations for set-valued equilibrium problems with variable ordering structures

2017 ◽  
Vol 13 (5) ◽  
pp. 0-0
Author(s):  
Shasha Hu ◽  
◽  
Yihong Xu ◽  
Yuhan Zhang
Keyword(s):  
Equilibrium Problems ◽  
Second Order ◽  
Variable Ordering ◽  
Variable Ordering Structures

scholarly journals Set-Valued Symmetric Generalized Strong Vector Quasi-Equilibrium Problems with Variable Ordering Structures

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1604
Author(s):  
Jing-Nan Li ◽  
San-Hua Wang ◽  
Yu-Ping Xu
Keyword(s):  
Equilibrium Problems ◽  
Existence Theorems ◽  
Saddle Points ◽  
Upper Semicontinuity ◽  
Quasi Equilibrium ◽  
Solution Sets ◽  
Variable Ordering ◽  
Variable Ordering Structures ◽  
The One ◽  
Cone Convexity

In this paper, two types of set-valued symmetric generalized strong vector quasi-equilibrium problems with variable ordering structures are discussed. By using the concept of cosmically upper continuity rather than the one of upper semicontinuity for cone-valued mapping, some existence theorems of solutions are established under suitable assumptions of cone-continuity and cone-convexity for the equilibrium mappings. Moreover, the results of compactness for solution sets are proven. As applications, some existence results of strong saddle points are obtained. The main results obtained in this paper unify and improve some recent works in the literature.

scholarly journals Generalized strong vector quasi-equilibrium problems with variable ordering structure

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Jia-Yu Mao ◽  
San-hua Wang ◽  
Jin-xia Huang
Keyword(s):  
Equilibrium Problems ◽  
Quasi Equilibrium ◽  
Variable Ordering Structure ◽  
Variable Ordering

Second-order sensitivity analysis for parametric equilibrium problems in set-valued optimization

2019 ◽  
Vol 53 (4) ◽  
pp. 1245-1260
Author(s):  
Nguyen Le Hoang Anh
Keyword(s):  
Sensitivity Analysis ◽  
Equilibrium Problems ◽  
Second Order ◽  
Weak Perturbation ◽  
Parametric Equilibrium Problems ◽  
Perturbation Map ◽  
Derivatives Of

In the paper, we first establish relationships between second-order contingent derivatives of a given set-valued map and that of the weak perturbation map. Then, these results are applied to sensitivity analysis for parametric equilibrium problems in set-valued optimization.

Efficiencies and Optimality Conditions in Vector Optimization with Variable Ordering Structures Marius Durea

2019 ◽  
pp. 158-209
Author(s):  
Marius Durea ◽  
Elena-Andreea Florea ◽  
Radu Strugariu
Keyword(s):  
Optimality Conditions ◽  
Vector Optimization ◽  
Variable Ordering ◽  
Variable Ordering Structures

scholarly journals Properly optimal elements in vector optimization with variable ordering structures

2013 ◽  
Vol 60 (4) ◽  
pp. 689-712 ◽  
Author(s):  
Gabriele Eichfelder ◽  
Refail Kasimbeyli
Keyword(s):  
Vector Optimization ◽  
Variable Ordering ◽  
Variable Ordering Structures
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