Fixed point theorems for a new class of nonexpansive mappings

Rajendra Pant; Rahul Shukla

doi:10.4995/agt.2022.17359

Authors

Rajendra Pant University of Johannesburg
Rahul Shukla Walter Sisulu University

DOI:

https://doi.org/10.4995/agt.2022.17359

Keywords:

α-nonexpansive, Opial property, condition (C)

Abstract

We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for this class of mappings. Some illustrative examples presented herein show the generality of the obtained results.

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Author Biographies

Rajendra Pant, University of Johannesburg

Department of Mathematics & Applied Mathematics

Rahul Shukla, Walter Sisulu University

Department of Mathematical Sciences and Computing

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