Optimality Conditions and Duality for Robust Nonsmooth Multiobjective Optimization Problems with Constraints

In this paper, we investigate a robust nonsmooth multiobjective optimization problem related to a multiobjective optimization with data uncertainty. We firstly introduce two kinds of generalized convex functions, which are not necessary to be convex. Robust necessary optimality conditions for weakly...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 181; no. 2; pp. 411 - 436
Main Authors:	Chen, Jiawei, Köbis, Elisabeth, Yao, Jen-Chih
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.05.2019 Springer Nature B.V
Subjects:	Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Convexity Economic models Engineering Mathematical programming Mathematics Mathematics and Statistics Multiple objective analysis Nonlinear programming Operations Research/Decision Theory Optimization Robustness Theory of Computation 65K10 Robust optimality conditions Robust nonsmooth multiobjective optimization Robust duality 90C25 Uncertain nonsmooth multiobjective optimization
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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