Optimality for Multi-Objective Programming Involving Arcwise Connected d-Type-I Functions ()
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.
Share and Cite:
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.