On nonsmooth multiobjective fractional programming problems involving (p, r)− ρ −(η ,θ)- invex functions

Authors

  • Anurag Jayswal Department of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand, India
  • Ashish Kumar Prasad Department of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand, India
  • I.M. Stancu-Minasian Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Bucharest, Romania

DOI:

https://doi.org/10.2298/YJOR130131012J

Keywords:

multiobjective fractional programming, Clarke gradient, (p,r)−ρ−(η,θ)-invexity, efficiency, sufficient optimality conditions, duality theorems

Abstract

A class of multiobjective fractional programming problems (MFP) is considered where the involved functions are locally Lipschitz. In order to deduce our main results, we introduce the definition of (p,r)−ρ −(η,θ)-invex class about the Clarke generalized gradient. Under the above invexity assumption, sufficient conditions for optimality are given. Finally, three types of dual problems corresponding to (MFP) are formulated, and appropriate dual theorems are proved.

References

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Published

2013-10-01

Issue

Vol. 23 No. 3 (2013)

Section

Research Articles

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