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Optimality for Multi-Objective Programming Involving Arcwise Connected d-Type-I Functions
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American Journal of Operations Research·Volume 01 (2011)·Pages 243–248·Published 21 December 2011·DOI10.4236/ajor.2011.14028
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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.
KeywordsMulti-Objective ProgrammingPareto Efficient SolutionArcwise Connected d-Type-I FunctionsOptimality ConditionsDuality
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