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

Sonali, .; Kailey, Navdeep; Sharma, Vikas

doi:10.1007/s10479-016-2147-y

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2016

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Cited by 5 publications

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“…Over the last decade much research has been conducted on sufficiency and duality for minimax fractional programming problems, which are not necessarily smooth. The interested reader is referred to [1,2,3,4,11,13,16,23,24,27] for more information of sufficiency and duality for minimax fractional programming problems and to [5,9,10,12,17] for some of its applications in practice.…”

Section: Introductionmentioning

confidence: 99%

Optimality and Parametric Duality for Nonsmooth Minimax Fractional Programming Problems Involving L-Invex-Infine Functions

2016

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ABSTRACT. The Karush-Kuhn-Tucker type necessary optimality conditions are given for the nonsmooth minimax fractional programming problem with inequality and equality constraints. Subsequently, based on the idea of L-invex-infine functions defined in terms of the limiting/Mordukhovich subdifferential of locally Lipschitz functions, we obtain sufficient optimality conditions for the considered nonsmooth minimax fractional programming problem and also we provide an example to justify the existence of sufficient optimality conditions. Furthermore, we propose a parametric type dual problem and explore duality results.

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