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

Guolin Yu, Min Wang

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DOI: 10.4236/ajor.2011.14028                

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.

Keywords

Multi-Objective Programming, Pareto Efficient Solution, Arcwise Connected d-Type-I Functions, Optimality Conditions, Duality

Conflicts of Interest

The authors declare no conflicts of interest.

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