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

Author:

Agwu Imo Kalu1,Igbokwe Donatus Ikechi1

Affiliation:

1. Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia Abia State, Nigeria

Abstract

ln this paper, a new iterative algorithm for finding common ele-ments of the set of fixed points for a finite family of asymptotically quasi-nonexpansive 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, ex-tend and generalize many important results recently announced in current literature.

Publisher

Department of Mathematics, University of the Punjab

Subject

Pharmacology (medical)

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