On Nonsmooth Mathematical Programs With Equilibrium Constraints Using Generalized Convexity
Yugoslav journal of operations research, Tome 29 (2019) no. 4, p. 449 .

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

In this paper, we derive the sufficient condition for global optimality for a nonsmooth mathematical program with equilibrium constraints involving generalized invexity. We formulate the Wolfe and Mond-Weir type dual models for the problem using convexificators. We establish weak and strong duality theorems to relate the mathematical program with equilibrium constraints and the dual models in the framework of convexificators.
Classification : 90C46;49J52
Keywords: Duality, Stationary point, Generalized invexity, Convexificators
@article{YJOR_2019_29_4_a1,
     author = {Bhuwan Chandra Joshi and Shashi Kant Mishra and  Pankaj},
     title = {On {Nonsmooth} {Mathematical} {Programs} {With} {Equilibrium} {Constraints} {Using} {Generalized} {Convexity}},
     journal = {Yugoslav journal of operations research},
     pages = {449 },
     publisher = {mathdoc},
     volume = {29},
     number = {4},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2019_29_4_a1/}
}
TY  - JOUR
AU  - Bhuwan Chandra Joshi
AU  - Shashi Kant Mishra
AU  -  Pankaj
TI  - On Nonsmooth Mathematical Programs With Equilibrium Constraints Using Generalized Convexity
JO  - Yugoslav journal of operations research
PY  - 2019
SP  - 449 
VL  - 29
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/YJOR_2019_29_4_a1/
LA  - en
ID  - YJOR_2019_29_4_a1
ER  - 
%0 Journal Article
%A Bhuwan Chandra Joshi
%A Shashi Kant Mishra
%A  Pankaj
%T On Nonsmooth Mathematical Programs With Equilibrium Constraints Using Generalized Convexity
%J Yugoslav journal of operations research
%D 2019
%P 449 
%V 29
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/YJOR_2019_29_4_a1/
%G en
%F YJOR_2019_29_4_a1
Bhuwan Chandra Joshi; Shashi Kant Mishra;  Pankaj. On Nonsmooth Mathematical Programs With Equilibrium Constraints Using Generalized Convexity. Yugoslav journal of operations research, Tome 29 (2019) no. 4, p. 449 . http://geodesic.mathdoc.fr/item/YJOR_2019_29_4_a1/