A Hybrid Steepest-Descent Algorithm for Convex Minimization Over the Fixed Point Set of Multivalued Mappings

In the setting of Hilbert spaces, we show that a hybrid steepest-descent algorithm converges strongly to a solution of a convex minimization problem over the fixed point set of a finite family of multivalued demicontractive mappings. We also provide numerical results concerning the viability of the...

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Bibliographic Details
Published in:Carpathian Journal of Mathematics 2023-01, Vol.39 (1), p.303-314
Main Authors: Arfat, Yasir, Kumam, Poom, Khan, Muhammad Aqeel Ahmad, Cho, Yeol Je
Format: Article
Language:English
Subjects:
In memoriam Professor Charles E. Chidume (1947- 2021)
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Summary:In the setting of Hilbert spaces, we show that a hybrid steepest-descent algorithm converges strongly to a solution of a convex minimization problem over the fixed point set of a finite family of multivalued demicontractive mappings. We also provide numerical results concerning the viability of the proposed algorithm with possible applications.
ISSN:1584-2851
1843-4401
DOI:10.37193/CJM.2023.01.21