TITLE:
Optimality for Multi-Objective Programming Involving Arcwise Connected d-Type-I Functions
AUTHORS:
Guolin Yu, Min Wang
KEYWORDS:
Multi-Objective Programming, Pareto Efficient Solution, Arcwise Connected d-Type-I
Functions, Optimality Conditions, Duality
JOURNAL NAME:
American Journal of Operations Research,
Vol.1 No.4,
December
5,
2011
ABSTRACT: 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.