On symmetric duality in nondifferentiable mathematical programming with F-convexity |
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Authors: | I. Ahmad Z. Husain |
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Affiliation: | 1. Department of Mathematics, Aligarh Muslim University, 202 002, Aligarh, India
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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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