数学物理学报(英文版)

• 论文 • 上一篇    下一篇

CHARACTERIZATION OF EFFICIENT SOLUTIONS FOR MULTI-OBJECTIVE OPTIMIZATION PROBLEMS INVOLVING SEMI-STRONG AND GENERALIZED SEMI-STRONG E-CONVEXITY

E. A. Youness; Tarek Emam   

  1. Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
  • 收稿日期:2004-12-31 修回日期:2005-12-12 出版日期:2008-01-20 发布日期:2008-01-20
  • 通讯作者: E. A. Youness

CHARACTERIZATION OF EFFICIENT SOLUTIONS FOR MULTI-OBJECTIVE OPTIMIZATION PROBLEMS INVOLVING SEMI-STRONG AND GENERALIZED SEMI-STRONG E-CONVEXITY

E. A. Youness; Tarek Emam   

  1. Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
  • Received:2004-12-31 Revised:2005-12-12 Online:2008-01-20 Published:2008-01-20
  • Contact: E. A. Youness

摘要:

The authors of this article are interested in characterization of efficient solutions for special classes of problems. These classes consider semi-strong E-convexity of involved functions. Sufficient and necessary conditions for a
feasible solution to be an efficient or properly efficient solution are obtained.

关键词: Multi-objective optimization problems, semi-strong E-convex, efficient
solutions,
properly efficient solutions

Abstract:

The authors of this article are interested in characterization of efficient solutions for special classes of problems. These classes consider semi-strong E-convexity of involved functions. Sufficient and necessary conditions for a
feasible solution to be an efficient or properly efficient solution are obtained.

Key words: Multi-objective optimization problems, semi-strong E-convex, efficient
solutions,
properly efficient solutions