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Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization.
- Source :
-
Journal of Optimization Theory & Applications . Aug2024, Vol. 202 Issue 2, p745-770. 26p. - Publication Year :
- 2024
-
Abstract
- In this paper, by revisiting coderivative calculus rules for convex multifunctions in finite-dimensional spaces, we derive formulae for estimating/computing the basic subdifferential and the coderivative of the efficient point multifunction of parametric convex vector optimization problems. These results are then applied to a broad class of conventional convex vector optimization problems with the presence of operator constraints and equilibrium ones. Examples are also designed to analyze and illustrate the obtained results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SUBDIFFERENTIALS
*SENSITIVITY analysis
*CALCULUS
*EQUILIBRIUM
Subjects
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 202
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 179086201
- Full Text :
- https://doi.org/10.1007/s10957-024-02446-x