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Dergiler / Advances in the Theory of Nonlinear Analysis and its Application / 2021 / Cilt: 5 - Sayı: 3

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

Rajendra PANT, Prashant PATEL, Rahul SHUKLA

Sayfa
368–381
DOI
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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.