Nondifferentiable higher-order duality theorems for new type of dual model under generalized functions

• Dubey, Ramu ^[1] ; Mishra, Vishnu Narayan ^[2]
  1. [1] University of Science and Technology

     University of Science and Technology

     Yemen

     
  2. [2] Indira Gandhi National Tribal University

     Indira Gandhi National Tribal University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 1, 2020, págs. 15-29
• Idioma: inglés
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• Resumen

  • The motivation behind this article is to study a class of nondifferentiable multiobjective fractional programming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a differentiable function, we consider a class of higher order pseudo quasi/ strictly pseudo quasi/weak strictly pseudo quasi- (V, ρ, d)-type-I convex functions. Under these the higher-order pseudo quasi/ strictly pseudo quasi/weak strictly pseudo quasi- (V, ρ, d)-type-I convexity assumptions, we prove the higher-order weak, higher-order strong and higher-order converse duality theorems related to efficient solution.