The Cone-Subdifferential Stability for Perturbed Optimizations of Sed-Valued Maps in Banach Space
Hu Yuda, Shanlin Li
Abstract
Hu Yuda, Shanlin Li
Abstract
The cone-subdifferential stability for perturbed vector optimization of set-valued maps in Banach space is studied in this paper. Under condition that the objective and consraint maps are semi-continuous and cone-convex, the stability of cone-efficient point set and cone-weakly efficient point set are obtained in the context of cone-subdifferential, respectively.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The cone-subdifferential stability for perturbed vector optimization of set-valued maps in Banach space is studied in this paper. Under condition that the objective and consraint maps are semi-continuous and cone-convex, the stability of cone-efficient point set and cone-weakly efficient point set are obtained in the context of cone-subdifferential, respectively.
Key concepts: Subderivative, Mathematics, Cone (formal languages), Banach space, Dual cone and polar cone, Mathematical analysis, Stability (learning theory), Context (archaeology)