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Optimality conditions and duality for nondifferentiable multiobjective semi-infinite programming problems with generalized (C, α, ρ, d)-convexity

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Abstract

This paper obtains sufficient optimality conditions for a nonlinear nondifferentiable multiobjective semi-infinite programming problem involving generalized (C, α, ρ, d)-convex functions. The authors formulate Mond-Weir-type dual model for the nonlinear nondifferentiable multiobjective semi-infinite programming problem and establish weak, strong and strict converse duality theorems relating the primal and the dual problems.

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Authors and Affiliations

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

    Shashi Kant Mishra & Monika Jaiswal

  2. Laboratory of Theoretical and Applied Computer Science LITA, UFR MIM, University of Lorraine, Metz, France

    Le Thi Hoai An

Authors
  1. Shashi Kant Mishra
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  2. Monika Jaiswal
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  3. Le Thi Hoai An
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Correspondence to Shashi Kant Mishra.

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This paper was recommended for publication by Editor DAI Yuhong.

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Mishra, S.K., Jaiswal, M. & Hoai An, L.T. Optimality conditions and duality for nondifferentiable multiobjective semi-infinite programming problems with generalized (C, α, ρ, d)-convexity. J Syst Sci Complex 28, 47–59 (2015). https://doi.org/10.1007/s11424-015-2233-2

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  • DOI: https://doi.org/10.1007/s11424-015-2233-2

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