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Parametric Optimality in Semi-infinite Fractional Programs

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Semi-Infinite Fractional Programming

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Abstract

Based on the second-order generalized (\(\phi ,\) \(\eta ,\) \(\zeta ,\) \(\rho ,\) \(\theta ,\) \(\tilde{m}\))-invexity, a set of generalized second-order parametric necessary optimality conditions and several sets of second-order sufficient optimality conditions for a semi-infinite discrete minmax fractional programming problem applying various generalized second-order (\(\phi ,\) \(\eta ,\) \(\zeta ,\) \(\rho ,\) \(\theta ,\) \(\tilde{m}\))-invexity constraints are presented.

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Authors and Affiliations

  1. Department of Mathematics, Texas State University, San Marcos, TX, USA

    Ram U. Verma

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  1. Ram U. Verma
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Correspondence to Ram U. Verma .

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Verma, R. (2017). Parametric Optimality in Semi-infinite Fractional Programs. In: Semi-Infinite Fractional Programming. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-10-6256-8_8

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