近似次微分刻画的约束向量均衡问题的最优性条件

Abstract

Abstract:

In this paper, we study the optimality conditions and duality theorems for a class of Constrained Vector Equilibrium Problem (CVEP) with respect to approximate quasi weak efficient solutions. Firstly, a necessary optimality condition related to approximate subdifferential of approximation quasi weak efficient solution to problem (CVEP) is established. Secondly, a kind of generalized convexity, named pseudo quasi type-Ⅰ function, is introduced, and under its assumption, a sufficient optimality condition is also obtained. Finally, the generalized approximate Mond-Weir dual model of problem (CVEP) is presented, and the dual theorems between with the primal problem are established.

Key words: Vector Equilibrium, Approximate solution, Generalized convexity, Optimality conditions, Duality

CLC Number:

O221

Shengxin Hua,Guolin Yu,Wenyan Han,Xiangyu Kong. Characterization of Optimality to Constrained Vector Equilibrium Problems via Approximate Subdifferential[J].Acta mathematica scientia,Series A, 2022, 42(2): 365-378.

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References 20

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Characterization of Optimality to Constrained Vector Equilibrium Problems via Approximate Subdifferential

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