Sufficient Efficiency Criteria for New Classes of Non-Convex Optimization Models
Abstract
:1. Introduction
2. On Multi-Dimensional Variational Control Models
Necessary and Sufficient Conditions Of Efficiency
3. Problem Formulation
- (i)
- , for ;
- (ii)
- , for ;
- (iii)
- , for ;
- (iv)
- and .
4. Sufficient Efficiency Criteria for (Problem)
- (a)
- , is strictly -invex at on ;
- (b)
- , is -invex at on ;
- (c)
- , is -invex at on ;
- (d)
- , is -invex at on ;
- (e)
- ;
- (a)
- , is strictly -pseudoinvex at on ;
- (b)
- , is -quasiinvex at on ;
- (c)
- , is -quasiinvex at on ;
- (d)
- , is -quasiinvex at on ;
- (e)
- ;
5. Conclusions and Future Research Directions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Treanţă, S.; Alsalami, O.M. Sufficient Efficiency Criteria for New Classes of Non-Convex Optimization Models. Axioms 2024, 13, 572. https://doi.org/10.3390/axioms13090572
Treanţă S, Alsalami OM. Sufficient Efficiency Criteria for New Classes of Non-Convex Optimization Models. Axioms. 2024; 13(9):572. https://doi.org/10.3390/axioms13090572
Chicago/Turabian StyleTreanţă, Savin, and Omar Mutab Alsalami. 2024. "Sufficient Efficiency Criteria for New Classes of Non-Convex Optimization Models" Axioms 13, no. 9: 572. https://doi.org/10.3390/axioms13090572