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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 21 | Number 1 | Year 2015 | Article Id. IJMTT-V21P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V21P505

Non-Differentiable Fractional Programming Under Generalized d,Ρ,n,Θ - Type 1 Univex Function


Gayatri Devi, Rashmita Mohanty
Abstract

Non-differentiable fractional duality is given and its weak duality and strong duality results are established under generalized d, , , type-1 univex function.

Keywords

Non differentiable fractional duality, generalized university, d, , , type – 1 univex function.

References

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2. Yu, Z. (1996) : Mixed type duality in multiobjective Programming Problems, J. Math. Anal. Appl. 198, 621-635.
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4. Mishra, S. K. and Rautela, J.S. (2009) : On nonlinear multiobjective fractional Programming involving semilocally type-1 univex function, Optim. Lett. 3, 171-185.
5. Hanson, M. A. and Mond, B. (1987) : Necessary and sufficient optimality condition in constraint optimization, Math. Program. 37 (1), 51-58. 6. Rudra, N.G., Hanson, M. A. and Sing, C. (1995) : Optimality and duality with generality convexity, J. Optim, Theory Appl., 86(2); 491-500.
7. Bectar, C. R. Sunija, S. K. and Gupta, S (1992) : Univex-functions and univex nonlinear programming in : “Proceeding of the Administrative Science Association of Canada” 115-124.
8. Mishra, S. K., Wang, S. Y. and Lai, K. K. (2006) : Mond-Weir type mixed symmetric first and second order duality in nondifferentiable mathematical Programming, J. Nonlinear convex Anal., 7(3), 189-198.
9. Nayak C., Mohapatra, R. N. (2009) : d, , , invexity in multiobjective optimization, Nonlinear Anal, 70, 2288-2296.

Citation :

Gayatri Devi, Rashmita Mohanty, "

Non-Differentiable Fractional Programming Under Generalized d,Ρ,n,Θ - Type 1 Univex Function

," International Journal of Mathematics Trends and Technology (IJMTT), vol. 21, no. 1, pp. 42-46, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V21P505

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