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

• Ram U Verma ^[1]
  1. [1] Texas State University

     Texas State University

     Estados Unidos

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 17, Nº. 1, 2015, págs. 41-63
• Idioma: inglés
• DOI: 10.4067/S0719-06462015000100004
• Enlaces
  • Texto completo
• Resumen
  • español

    Se desarrollan las condiciones de eficiencia suficiente generalizadas paramétricamente de programación multifraccional multiobjetivo basado en las invexidades-(Φ,Ψ, ρ, ζ, θ)− híbridas y luego se establecen las soluciones eficientes a los problemas de programación fraccional multiobjetivo. Además, los resultados obtenidos sobre condiciones de eficiencia suficiente se generalizan al caso de soluciones ?-eficientes. Los resultados obtenidos generalizan y unifican una amplia gama de investigaciones en la teoría y aplicaciones de la programación fraccional multiobjetivo basado en el marco de trabajo de las invexidades-(Φ,Ψ, ρ, ζ, θ)−.

  • English

    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.

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