Author(s)

Guolin Yu, Min Wang

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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.

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

G. Yu and M. Wang, "Optimality for Multi-Objective Programming Involving Arcwise Connected d-Type-I Functions," American Journal of Operations Research, Vol. 1 No. 4, 2011, pp. 243-248. doi: 10.4236/ajor.2011.14028.