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Saddle Point Criteria in Nonsmooth Semi-Infinite Minimax Fractional Programming Problems

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Abstract

This paper considers a nonsmooth semi-infinite minimax fractional programming problem (SIMFP) involving locally Lipschitz invex functions. The authors establish necessary optimality conditions for SIMFP. The authors establish the relationship between an optimal solution of SIMFP and saddle point of scalar Lagrange function for SIMFP. Further, the authors study saddle point criteria of a vector Lagrange function defined for SIMFP.

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Authors and Affiliations

  1. Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India

    S. K. Mishra & Yadvendra Singh

  2. Department of Mathematics, Texas State University, Texas, USA

    R. U. Verma

Authors
  1. S. K. Mishra
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  2. Yadvendra Singh
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  3. R. U. Verma
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Corresponding author

Correspondence to S. K. Mishra.

Additional information

The paper was supported by the Council of Scientific and Industrial Research (CSIR), New Delhi, India under Grant No. 09/013(0474)/2012-EMR-1.

This paper was recommended for publication by Editor WANG Shouyang.

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Mishra, S.K., Singh, Y. & Verma, R.U. Saddle Point Criteria in Nonsmooth Semi-Infinite Minimax Fractional Programming Problems. J Syst Sci Complex 31, 446–462 (2018). https://doi.org/10.1007/s11424-017-6085-9

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  • DOI: https://doi.org/10.1007/s11424-017-6085-9

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