Robust nonsmooth optimality conditions for uncertain multiobjective programs involving stable functions

In this paper, we study and develop robust nonsmooth optimality conditions and duality analysis for an uncertain multiobjective programming problem with constraints (( UCMOP ), for brevity). First, we introduce the constraint qualification of the ( GRSCQ ) type and then establish some robust necessa...

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Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis Jg. 28; H. 4; S. 60
1. Verfasser: Van Su, Tran
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 01.09.2024
Springer Nature B.V
Schlagworte:
Applied mathematics
Calculus of Variations and Optimal Control; Optimization
Constraints
Convexity
Econometrics
Euclidean space
Fourier Analysis
Mathematical programming
Mathematics
Mathematics and Statistics
Multiple objective analysis
Operator Theory
Optimization
Potential Theory
Robustness
Uncertainty analysis
Robust duality theorems
Robust efficient solutions
Robust nonsmooth optimality conditions
Uncertain nonsmooth multiobjective programming
90C46
90C25
65K10
90C29
Wolfe and Mond–Weir types dual problem
ISSN:1385-1292, 1572-9281
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Zusammenfassung:In this paper, we study and develop robust nonsmooth optimality conditions and duality analysis for an uncertain multiobjective programming problem with constraints (( UCMOP ), for brevity). First, we introduce the constraint qualification of the ( GRSCQ ) type and then establish some robust necessary optimality conditions in terms of the generalized subdifferentials for some types of minima (including robust weakly efficient and robust properly efficient) to such problem involving stable functions. Under suitable assumptions on the pseudo-convexity of objective and constraint functions, robust necessary nonsmooth optimality conditions become robust sufficient optimality conditions. An application of the obtained results for its Wolfe and Mond–Weir types dual problem is presented and some illustrative examples are also provided for our findings.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-024-01077-w