Hybrid (Φ,Ψ,ρ,ζ,θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems

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DOI:

https://doi.org/10.4067/S0719-06462015000100004

Abstract

The parametrically generalized sufficient efficiency conditions for multiobjective fractional programming based on the hybrid (Φ,Ψ,Ï,ζ,θ)−invexities are developed and then efficient solutions to the multiobjective fractional programming problems are established. Plus, the obtained results on sufficient efficiency conditions are generalized to the case of the ϵ−efficient solutions. The results thus obtained generalize and unify a wider range of investigations on the theory and applications to the multiobjective fractional programming based on the hybrid (Φ,Ψ,Ï,ζ,θ)−invexity frameworks.

Keywords

Generalized invexity , Multiobjective fractional programming , Efficient solutions , ϵ−efficient solutions. , Parametric sufficient efficiency conditions
  • Ram U. Verma Department of Mathematics, Texas State University, San Marcos, TX 78666, USA.
  • Pages: 41-64
  • Date Published: 2015-03-01
  • Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal

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Published

2015-03-01

How to Cite

[1]
R. U. Verma, “Hybrid (Φ,Ψ,ρ,ζ,θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems”, CUBO, vol. 17, no. 1, pp. 41–64, Mar. 2015.

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