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

Author(s): Guolin Yu | Min Wang

Journal: American Journal of Operations Research
ISSN 2160-8830

Volume: 01;
Issue: 04;
Start page: 243;
Date: 2011;
Original page

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

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.

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