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

The parametrically generalized sufficient efficiency conditions for multiobjective fractional programming based on the hybrid (Φ,Ψ, ρ, ζ, θ)−invexities are developed and then efficient solutions to the multiobjective fractional programming probl...

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Autor principal: Verma,Ram U
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100004
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Sumario:The parametrically generalized sufficient efficiency conditions for multiobjective fractional programming based on the hybrid (Φ,Ψ, ρ, 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 ?−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, ρ, ζ, θ)−invexity frameworks.