Journal of applied mathematics & informatics
- Volume 19 Issue 1_2
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- Pages.371-384
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
ON SYMMETRIC DUALITY IN NONDIFFERENTIABLE MATHEMATICAL PROGRAMMING WITH F-CONVEXITY
- AHMAD I. (Department of Mathematics, Aligrah Muslim University) ;
- HUSAIN Z. (Department of Mathematics, Aligrah Muslim University)
- Published : 2005.09.01
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.
Keywords
- Symmetric duality;
- nondifferentiable programming;
- minimax programming;
- integer programming;
- F-convexity