Efficiency and duality in nonsmooth multiobjective fractional programming involving η-pseudolinear functions

Authors

  • S.K. Mishra Department of Mathematics Faculty of Science Banaras Hindu University, Varanasi, India
  • B.B. Upadhyay Department of Mathematics Faculty of Science Banaras Hindu University, Varanasi , India

DOI:

https://doi.org/10.2298/YJOR101215002M

Keywords:

Multiobjective fractional programming, nonsmooth programming, pseudolinearity, η-pseudolinearity, duality

Abstract

In this paper, we shall establish necessary and sufficient optimality conditions for a feasible solution to be efficient for a nonsmooth multiobjective fractional programming problem involving η-pseudolinear functions. Furthermore, we shall show equivalence between efficiency and proper efficiency under certain boundedness condition. We have also obtained weak and strong duality results for corresponding Mond-Weir subgradient type dual problem. These results extend some earlier results on efficiency and duality to multiobjective fractional programming problems involving η-pseudolinear and pseudolinear functions.

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Published

2012-03-01

Issue

Vol. 22 No. 1 (2012)

Section

Research Articles

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