Optimality condition and duality in multi objective programming with generalized (φ,ρ)-univexity

Authors

  • Deo Brat Ojha R. K. G. I. T., Ghaziabad (U.P.)

DOI:

https://doi.org/10.3126/kuset.v7i1.5427

Keywords:

Optimality condition, duality, multi objective programming, generalized (?, r )-univexity

Abstract

In this paper, we extend the classes of generalized type I vector valued functions introduced by Aghezzaf and Hachimi[1] to generalized univex type I vector-valued functions and consider a multiobjective optimization problem involving generalized type I function with (φ,r ) -univexity. A number of Kuhn-Tucker type sufficient optimality conditions are obtained for a feasible solution to be an efficient solution. The Mond-Weir and general Mond-Weir type duality results are also presented.

DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5427

KUSET 2011; 7(1): 105-112

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How to Cite

Ojha, D. B. (2011). Optimality condition and duality in multi objective programming with generalized (φ,ρ)-univexity. Kathmandu University Journal of Science, Engineering and Technology, 7(1), 105–112. https://doi.org/10.3126/kuset.v7i1.5427

Issue

Vol. 7 No. 1 (2011)

Section

Original Research Articles

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