Research ArticleNo Access

On multi-valued version of M-iteration process

Kifayat Ullah

Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, Pakistan

E-mail Address: kifayatmath@yahoo.com

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Junaid Ahmad

https://orcid.org/0000-0002-8119-9546

Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan

E-mail Address: ahmadjunaid436@gmail.com

Corresponding author.

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, and

Abdul Rahim Khan

Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

E-mail Address: arahim@kfupm.edu.sa

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https://doi.org/10.1142/S1793557123500171Cited by:1 (Source: Crossref)

Abstract

We give a multi-valued version of M iterative process [K. Ullah and M. Arshad, Numerical reckoning fixed points Suzuki’s generalized nonexpansive mappings via new iteration process, Filomat 32 (2018) 187–196] in the setting of Banach spaces. After this, we prove some weak and strong convergence results for the class of multi-valued quasi-nonexpansive mappings (which contains the class of multi-valued nonexpansive mappings) with proper numerical examples using multi-valued version of M-iteration process. These results generalize several well-known comparable results in the literature.

Communicated by M. Botur

Keywords:

AMSC: 47H09, 47H10

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