A Modified Proximal Point Algorithm for Finite Families of Minimization Problems and Fixed Point Problems of Asymptotically Quasi-nonexpansive Multivalued Mappings.

Autor:	Imo Kalu Agwu, Igbokwe, Donatus Ikechi
Předmět:	SET-valued maps ALGORITHMS FINITE The MATHEMATICAL mappings HILBERT space POINT set theory NONEXPANSIVE mappings
Zdroj:	Punjab University Journal of Mathematics; 2022, Vol. 54 Issue 8, p495-522, 28p
Abstrakt:	ln this paper, a new iterative algorithm for finding common elements of the set of fixed points for a finite family of asymptotically quasinonexpansive multivalued mappings and the set of minimizers for a finite family of minimization problem is constructed. Under mild conditions on the control sequences, strong convergence of our algorithm was achieved without necessarily imposing any compactness condition on the space or the operator by using an independent approach. Our results improve, extend and generalize many important results recently announced in current literature. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu