On Mann-Type Implicit Iteration Process for a Finite Family of α-Hemicontractive Mappings in Hilbert Spaces

Oboyi Joseph, Mfon O. Udo, Fredrick A. Adie, Samson E. Ekoro, Austine E. Ofem, Chukwuka F. Chikwe

Abstract

The purpose of this article is to study an implicit iteration process for a finite family of α-hemicontractive mappings in Hilbert spaces. Our results extend and generalize the recent results of Husain et al. [12] and Diwan et al. [8] from the classes of hemicontractive and α-demicontractive mappings respectively, to the more general class of α-hemicontractive mappings.

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Pan-Amer. J. Math. 1 (2022), 2
DOI: https://doi.org/10.28919/cpr-pajm/1-2
This article was published on July 6, 2022 by Mathyze, under a Creative Commons Attribution 4.0 International License.