- Konuralp Journal of Mathematics
- Cilt: 11 Sayı: 2
- Approximating Common Fixed Point of Three $C$-$\\alpha$ Nonexpansive Mappings
Approximating Common Fixed Point of Three $C$-$\\alpha$ Nonexpansive Mappings
Authors : Seyit Temir, Zeynep Bayram
Pages : 184-194
View : 57 | Download : 79
Publication Date : 2023-10-31
Article Type : Research
Abstract :In this paper, we consider a new class of nonlinear mappings presented in \\cite{Shukla} that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We introduce approximating common fixed point of three C-$\\alpha$ nonexpansive mappings through weak and strong convergence of an iterative sequence in a uniformly convex Banach space. We also numerically illustrate the common fixed point approximations of the presented iteration for the three $C$-$\\alpha$ nonexpansive mappings.Keywords : Suzuki’s generalized nonexpansive mappings, α−nonexpansive mappings, Opial property, uniformly convex Banach space, common fixed point, convergence theorems.