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

Author

ARFAT, YASIR, KUMAM, POOM, AHMAD KHAN, MUHAMMAD AQEEL, and YEOL JE CHO

Subjects
*POINT set theory, *ALGORITHMS, *HILBERT space, *MATHEMATICAL mappings, *NONEXPANSIVE mappings, *SET-valued maps
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2023
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