Optimality conditions for vector equilibrium problemswith constraints

Qiu-Sheng Qiu

doi:10.3934/jimo.2009.5.783

Article Contents

2009, Volume 5, Issue 4: 783-790. Doi: 10.3934/jimo.2009.5.783

This issue Previous Article Two-echelon requirements planning with pricing decisions Next Article Robust multiobjective dynamic programming: Minimax envelopes for efficient decisionmaking under scenario uncertainty

Optimality conditions for vector equilibrium problems with constraints

Qiu-Sheng Qiu^1,

1.
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004

Received: December 31, 2008

Revised: June 30, 2009

Published: September 2009

Abstract Related Papers Cited by

Abstract

In this paper, the necessary and sufficient conditions for weakly efficient solution of the vector equilibrium problems with constraints are obtained. The Kuhn-Tucker condition for weakly efficient solution of the vector equilibrium problems is derived. As interesting applications of the results in the paper, we obtain the optimality conditions for vector optimization problems with constraints.

Keywords:

Mathematics Subject Classification: 49J40, 49K27, 65K10.

Citation:

Article Metrics

HTML views() PDF downloads(107) Cited by(0)

Optimality conditions for vector equilibrium problems with constraints

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Optimality conditions for vector equilibrium problems with constraints

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content