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On symmetric duality in nondifferentiable mathematical programming with F-convexity

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Abstract

Usual symmetric duality results are proved for Wolfe and Mond-Weir type nondifferentiable nonlinear symmetric dual programs under F-convexity F-concavity and F-pseudoconvexity F-pseudoconcavity assumptions. These duality results are then used to formulate Wolfe and Mond-Weir type nondifferentiable minimax mixed integer dual programs and symmetric duality theorems are established. Moreover, nondifferentiable fractional symmetric dual programs are studied by using the above programs.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, 202 002, Aligarh, India

    I. Ahmad & Z. Husain

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  1. I. Ahmad
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  2. Z. Husain
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Correspondence to I. Ahmad.

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I. Ahmad is a Lecturer in the Department of Mathematics, Aligarh Muslim University, Aligarh, India. He obtained his M. Sc. in Applied Mathematics, M. Phil and Ph. D in Mathematics from University of Roorkee, Roorkee, India (presently I.I.T. Roorkee). He has published many papers in the area of mathematical programming.

Z. Husain is a Research Scholar in the Department of Mathematics, Aligarh Muslim University, Aligarh, India. He obtained his M. Sc. from M.J.P. Rohilkhand University, Bareilly, India and M. Phil. from Aligarh Muslim University, Aligarh, India

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Ahmad, I., Husain, Z. On symmetric duality in nondifferentiable mathematical programming with F-convexity. JAMC 19, 371–384 (2005). https://doi.org/10.1007/BF02935812

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  • DOI: https://doi.org/10.1007/BF02935812

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