Journal of Applied Mathematics

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

GuoLin Yu

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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.

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J. Appl. Math., Volume 2012 (2012), Article ID 540746, 12 pages.

First available in Project Euclid: 2 January 2013

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Yu, GuoLin. Duality of $(h,\phi )$ -Multiobjective Programming Involving Generalized Invex Functions. J. Appl. Math. 2012 (2012), Article ID 540746, 12 pages. doi:10.1155/2012/540746.

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