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/10.70530/kuset.v7i1.309

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.

Published

2011-01-28

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). https://doi.org/10.70530/kuset.v7i1.309