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Sequential Pareto Subdifferential Sum Rule for Convex Set-Valued Mappings and Applications.
- Source :
-
Journal of Optimization Theory & Applications . Sep2023, Vol. 198 Issue 3, p1226-1245. 20p. - Publication Year :
- 2023
-
Abstract
- The aim of this paper is to provide a general description of the Pareto subdifferential (weak and proper) of the sum of two cone-convex set-valued mappings in terms of sequences without any constraint qualifications. As an application, we derive sequential Lagrange multipliers optimality conditions for general set-valued optimization problem in terms of sequential Lagrange multipliers at nearby points for the Pareto efficient solutions, where no constraint qualification is assumed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SET-valued maps
*LAGRANGE multiplier
Subjects
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 198
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 171309233
- Full Text :
- https://doi.org/10.1007/s10957-023-02255-8