On Nonsmooth Mathematical Programs With Equilibrium Constraints Using Generalized Convexity
Yugoslav journal of operations research, Tome 29 (2019) no. 4, p. 449
Cet article a éte moissonné depuis 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
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 },
year = {2019},
volume = {29},
number = {4},
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 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 %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/