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

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,...

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Vydané v:Yugoslav Journal of Operations Research Ročník 23; číslo 3; s. 367 - 386
Hlavní autori: Jayswal Anurag, Prasad Ashish Kumar, Stancu-Minasian I.M.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: University of Belgrade 01.01.2013
Predmet:
(p,r)−ρ−(η,θ)-invexity
Clarke gradient
duality theorems
efficiency
multiobjective fractional programming
sufficient optimality conditions
ISSN:0354-0243, 1820-743X
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Shrnutí: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.
ISSN:0354-0243
1820-743X
DOI:10.2298/YJOR130131012J