Duality of (h, φ)‐Multiobjective Programming Involving Generalized Invex Functions

GuoLin Yu

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: In the setting of Ben‐Tal′s generalized algebraic operations, this paper deals with Mond‐Weir type dual theorems of multiobjective programming problems involving generalized invex functions. Two classes of functions, namely, (h, φ)‐pseudoinvex and (h, φ)‐quasi‐invex, are defined for a vector function. By utilizing these two classes of functions, some dual theorems are established for conditionally proper efficient solution in (h, φ)‐multiobjective programming problems.

Date: 2012
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https://doi.org/10.1155/2012/540746

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:540746

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