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Optimality Conditions for Multiobjective Programming with Generalized (I, ρ, θ)-Convex Set Functions

✍ Scribed by H.C Lai; J.C Liu


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
254 KB
Volume
215
Category
Article
ISSN
0022-247X

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✦ Synopsis


In this paper, we establish some sufficient conditions under which a feasible solution of such a problem will be Pareto optimal provided that a weaker convexity requirement is satisfied; for Ž . instance ᑣ, , -convexity is assumed for both objective and constraint set functions. Some duality models are also discussed. Wolfe-type and Mond᎐Weir-type duality theorems are proved.