Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming With Data Uncertainty Via Mordukhovich Subdifferential
Yugoslav journal of operations research, Tome 31 (2021) no. 4, p. 495
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Based on the notation of Mordukhovich subdifferential in [27], we propose
some of new concepts of convexity to establish optimality conditions for quasi $\varepsilon$-solutions
for nonlinear semi-infinite optimization problems with data uncertainty in constraints.
Moreover, some examples are given to illustrate the obtained results.
Classification :
49K99, 65K10, 90C34, 90C26, 90C46
Keywords: Robust Optimality Condition, Semi-Infinite Programming, Constraint Qualification, Generalized Convexity, Mordukhovich Subdifferential.
Keywords: Robust Optimality Condition, Semi-Infinite Programming, Constraint Qualification, Generalized Convexity, Mordukhovich Subdifferential.
Thanh-Hung Pham. Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming With Data Uncertainty Via Mordukhovich Subdifferential. Yugoslav journal of operations research, Tome 31 (2021) no. 4, p. 495 . http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a4/
@article{YJOR_2021_31_4_a4,
author = {Thanh-Hung Pham},
title = {Optimality {Conditions} and {Duality} for {Multiobjective} {Semi-Infinite} {Programming} {With} {Data} {Uncertainty} {Via} {Mordukhovich} {Subdifferential}},
journal = {Yugoslav journal of operations research},
pages = {495 },
year = {2021},
volume = {31},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a4/}
}
TY - JOUR AU - Thanh-Hung Pham TI - Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming With Data Uncertainty Via Mordukhovich Subdifferential JO - Yugoslav journal of operations research PY - 2021 SP - 495 VL - 31 IS - 4 UR - http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a4/ LA - en ID - YJOR_2021_31_4_a4 ER -
%0 Journal Article %A Thanh-Hung Pham %T Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming With Data Uncertainty Via Mordukhovich Subdifferential %J Yugoslav journal of operations research %D 2021 %P 495 %V 31 %N 4 %U http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a4/ %G en %F YJOR_2021_31_4_a4