Higher-order symmetric duality for a class of multiobjective fractional programming problems

In this paper, a pair of nondifferentiable multiobjective fractional programming problems is formulated. For a differentiable function, we introduce the definition of higher-order ( F , α , ρ , d )-convexity, which extends some kinds of generalized convexity, such as second order F -convexity and hi...

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Vydané v:	Journal of inequalities and applications Ročník 2012; číslo 1; s. 1
Hlavný autor:	Ying, Gao
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 20.06.2012 Springer Nature B.V
Predmet:	Analysis Applications of Mathematics Mathematics Mathematics and Statistics multiobjective fractional programming higher-order , convexity Higher-order symmetric duality
ISSN:	1029-242X, 1025-5834, 1029-242X
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Shrnutí:	In this paper, a pair of nondifferentiable multiobjective fractional programming problems is formulated. For a differentiable function, we introduce the definition of higher-order ( F , α , ρ , d )-convexity, which extends some kinds of generalized convexity, such as second order F -convexity and higher-order F -convexity. Under the higher-order ( F , α , ρ , d )-convexity assumptions, we prove the higher-order weak, higher-order strong and higher-order converse duality theorems. Mathematics Subject Classification (2010) 90C29; 90C30; 90C46.
Bibliografia:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/1029-242X-2012-142