Geodesic
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. 
@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 },
     publisher = {mathdoc},
     volume = {31},
     number = {4},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a4/}
}
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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/