- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 3
- Fixed Point Results for a Class of Nonexpansive Type Mappings in Banach Spaces
Fixed Point Results for a Class of Nonexpansive Type Mappings in Banach Spaces
Authors : Rajendra PANT, Prashant PATEL, Rahul SHUKLA
Pages : 368-381
Doi:10.31197/atnaa.878951
View : 4 | Download : 1
Publication Date : 2021-09-30
Article Type : Research
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)