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Set-valued fractional programming problems under generalized cone convexity

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Abstract

In this paper, we establish the sufficient Karush-Kuhn-Tucker (KKT) optimality conditions for the set-valued fractional programming problem (FP) via contingent epiderivative under ρ-cone convexity. We also study the duality results of parametric (PD), Mond-Weir (MWD), Wolfe (WD) and mixed (MD) types for the problem (FP).

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Acknowledgments

The first author is thankful to Council of Scientific and Industrial Research (CSIR), India, for his financial support in executing the study.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, West Bengal, India

    K. Das & C. Nahak

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  1. K. Das
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  2. C. Nahak
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Correspondence to C. Nahak.

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Das, K., Nahak, C. Set-valued fractional programming problems under generalized cone convexity. OPSEARCH 53, 157–177 (2016). https://doi.org/10.1007/s12597-015-0222-9

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