Fixed Point Results for a Class of Nonexpansive Type Mappings in Banach Spaces

Year 2021, Volume: 5 Issue: 3, 368 - 381, 30.09.2021

Rajendra Pant , Prashant Patel Rahul Shukla

https://doi.org/10.31197/atnaa.878951

Cited By: 4

Abstract

Abstract. In this paper, we present some new fixed point results for a well-known class of generalized nonexpansive type mappings and associated Krasnosel'ski type mappings in Banach spaces. Further, we consider Mann type iteration for finding a common fixed point of a nonexpansive type semigroup. We also present a couple of nontrivial examples to illustrate facts and show numerical convergence.

Keywords

Nonexpnasive mapping, condition (E), Banach Spaces, Conditions (E)

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