Geodesic
On Nonsmooth Multiobjective Fractional Programming Problems Involving (p, r) - ρ - (η , θ)- Invex Functions
Yugoslav journal of operations research, Tome 23 (2013) no. 3, p. 367 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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. Keywords: Multiobjective fractional programming, Clarke gradient, ( ) ( ), ,p r ρ η θ− − -invexity, efficiency, sufficient optimality conditions, duality theorems.
Classification : 90C32, 90C46, 49N15.
Keywords: Multiobjective fractional programming, Clarke gradient, (p, r) - ρ - (η , θ) -invexity,efficiency, sufficient optimality conditions, duality theorems. 
@article{YJOR_2013_23_3_a4,
     author = {Anurag Jayswal and Ashish Kumar Prasad and I. M. Stancu-Minasian},
     title = {On {Nonsmooth} {Multiobjective} {Fractional} {Programming} {Problems} {Involving}  (p, r) - \ensuremath{\rho} - (\ensuremath{\eta} , \ensuremath{\theta})- {Invex} {Functions}},
     journal = {Yugoslav journal of operations research},
     pages = {367 },
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2013_23_3_a4/}
}
TY  - JOUR
AU  - Anurag Jayswal
AU  - Ashish Kumar Prasad
AU  - I. M. Stancu-Minasian
TI  - On Nonsmooth Multiobjective Fractional Programming Problems Involving  (p, r) - ρ - (η , θ)- Invex Functions
JO  - Yugoslav journal of operations research
PY  - 2013
SP  - 367 
VL  - 23
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/YJOR_2013_23_3_a4/
LA  - en
ID  - YJOR_2013_23_3_a4
ER  - 
%0 Journal Article
%A Anurag Jayswal
%A Ashish Kumar Prasad
%A I. M. Stancu-Minasian
%T On Nonsmooth Multiobjective Fractional Programming Problems Involving  (p, r) - ρ - (η , θ)- Invex Functions
%J Yugoslav journal of operations research
%D 2013
%P 367 
%V 23
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/YJOR_2013_23_3_a4/
%G en
%F YJOR_2013_23_3_a4
Anurag Jayswal; Ashish Kumar Prasad; I. M. Stancu-Minasian. On Nonsmooth Multiobjective Fractional Programming Problems Involving  (p, r) - ρ - (η , θ)- Invex Functions. Yugoslav journal of operations research, Tome 23 (2013) no. 3, p. 367 . http://geodesic.mathdoc.fr/item/YJOR_2013_23_3_a4/