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On directionally differentiable multiobjective programming problems with vanishing constraints.
- Source :
-
Annals of Operations Research . Sep2023, Vol. 328 Issue 2, p1181-1212. 32p. - Publication Year :
- 2023
-
Abstract
- In this paper, a class of directionally differentiable multiobjective programming problems with inequality, equality and vanishing constraints is considered. Under both the Abadie constraint qualification and the modified Abadie constraint qualification, the Karush–Kuhn–Tucker type necessary optimality conditions are established for such nondifferentiable vector optimization problems by using the nonlinear version Gordan theorem of the alternative for convex functions. Further, the sufficient optimality conditions for such directionally differentiable multiobjective programming problems with vanishing constraints are proved under convexity hypotheses. Furthermore, vector Wolfe dual problem is defined for the considered directionally differentiable multiobjective programming problem vanishing constraints and several duality theorems are established also under appropriate convexity hypotheses. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONVEX functions
*NONLINEAR equations
*HYPOTHESIS
Subjects
Details
- Language :
- English
- ISSN :
- 02545330
- Volume :
- 328
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Annals of Operations Research
- Publication Type :
- Academic Journal
- Accession number :
- 169946495
- Full Text :
- https://doi.org/10.1007/s10479-023-05368-5