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On second order duality of minimax fractional programming with square root term involving generalized B-(p, r)-invex functions

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An Erratum to this article was published on 16 May 2017

Abstract

The advantage of second-order duality is that if a feasible point of the primal is given and first-order duality conditions are not applicable (infeasible), then we may use second-order duality to provide a lower bound for the value of primal problem. Consequently, it is quite interesting to discuss the duality results for the case of second order. Thus, we focus our study on a discussion of duality relationships of a minimax fractional programming problem under the assumptions of second order B-(p, r)-invexity. Weak, strong and strict converse duality theorems are established in order to relate the primal and dual problems under the assumptions. An example of a non trivial function has been given to show the existence of second order B-(p, r)-invex functions.

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Acknowledgments

The research of Dr. Vikas Sharma is supported by Thapar University, Patiala under Seed Money Project no. TU/DORSP/57/581. He gratefully acknowledges the support provided by the Thapar University to carry out this research.

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Authors and Affiliations

  1. School of Mathematics, Thapar University, Patiala, 147 004, India

    Sonali, N. Kailey & V. Sharma

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  1. Sonali
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  2. N. Kailey
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  3. V. Sharma
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Correspondence to N. Kailey.

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An erratum to this article is available at http://dx.doi.org/10.1007/s10479-017-2502-7.

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Sonali, Kailey, N. & Sharma, V. On second order duality of minimax fractional programming with square root term involving generalized B-(p, r)-invex functions. Ann Oper Res 244, 603–617 (2016). https://doi.org/10.1007/s10479-016-2147-y

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