Optimality for Multi-Objective Programming Involving Arcwise Connected d-Type-I Functions

• 作者: Guolin Yu Min Wang
• 来源期刊: 美国运筹学期刊(英文)
• 学科: 数学
• 关键词: Multi-Objective Programming Pareto Efficient Solution Arcwise Connected d-Type-I FUNCTIONS OPTIMALITY Conditions Duality
• 年，卷（期）: 2011,（4）
• 页码范围: 243-248
• 页数: 6页
• 分类号: O1

摘要

This paper deals with the optimality conditions and dual theory of multi-objective programming problems involving generalized convexity. New classes of generalized type-I functions are introduced for arcwise connected functions, and examples are given to show the existence of these functions. By utilizing the new concepts, several sufficient optimality conditions and Mond-Weir type duality results are proposed for non-differentiable multi-objective programming problem.