On nonsmooth multiobjective fractional programming problems involving (p, r)− ρ −(η ,θ)- invex functions

Autor:	Jayswal Anurag, Prasad Ashish Kumar, Stancu-Minasian I.M.
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	multiobjective fractional programming Clarke gradient (p r)−ρ−(η θ)-invexity efficiency sufficient optimality conditions duality theorems Management information systems T58.6-58.62
Zdroj:	Yugoslav Journal of Operations Research, Vol 23, Iss 3, Pp 367-386 (2013)
Druh dokumentu:	article
ISSN:	0354-0243 1820-743X
DOI:	10.2298/YJOR130131012J
Popis:	A class of multiobjective fractional programming problems (MFP) is considered where the involved functions are locally Lipschitz. In order to deduce our main results, we introduce the definition of (p,r)−ρ −(η,θ)-invex class about the Clarke generalized gradient. Under the above invexity assumption, sufficient conditions for optimality are given. Finally, three types of dual problems corresponding to (MFP) are formulated, and appropriate dual theorems are proved.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/37eb81065d12437cbc055de36bc61659 Zobrazit plný text záznamu View record in DOAJ