On minimax fractional programming problems involving generalized $(H_p,r)$-invex functions

Anurag Jayswal; Ashish Kumar Prasad; Izhar Ahmad

doi:10.3934/jimo.2014.10.1001

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2014, Volume 10, Issue 4: 1001-1018. Doi: 10.3934/jimo.2014.10.1001

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On minimax fractional programming problems involving generalized $(H_p,r)$-invex functions

1.
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004
2.
Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran-31261

Received: May 2012

Revised: July 2013

Published: October 2014

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Abstract

In the present paper, we move forward in the study of minimax fractional programming problem and establish sufficient optimality conditions under the assumptions of generalized $(H_p,r)$-invexity. Weak, strong and strict converse duality theorems are also derived for two types of dual models related to minimax fractional programming problem involving aforesaid invex functions. In order to show the existence of introduced class of functions, examples are given.

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Mathematics Subject Classification: Primary: 90C32, 49K35; Secondary: 49N15.

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References

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