1Department of Economics, Shiga University, Banba 1-1-1, Hikone, Shiga 522-0069, Japan
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 2, pp. 165-178
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Atsumasa Kondo; Atsumasa Kondo. Strong convergence theorems using three-step mean iteration for Zamfirescu mappings in Banach spaces. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 2, pp. 165-178. http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a4/
@article{AMUC_2023_92_2_a4,
author = {Atsumasa Kondo and Atsumasa Kondo},
title = { Strong convergence theorems using three-step mean iteration for {Zamfirescu} mappings in {Banach} spaces},
journal = {Acta mathematica Universitatis Comenianae},
pages = {165--178},
year = {2023},
volume = {92},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a4/}
}
TY - JOUR
AU - Atsumasa Kondo
AU - Atsumasa Kondo
TI - Strong convergence theorems using three-step mean iteration for Zamfirescu mappings in Banach spaces
JO - Acta mathematica Universitatis Comenianae
PY - 2023
SP - 165
EP - 178
VL - 92
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a4/
ID - AMUC_2023_92_2_a4
ER -
%0 Journal Article
%A Atsumasa Kondo
%A Atsumasa Kondo
%T Strong convergence theorems using three-step mean iteration for Zamfirescu mappings in Banach spaces
%J Acta mathematica Universitatis Comenianae
%D 2023
%P 165-178
%V 92
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a4/
%F AMUC_2023_92_2_a4
This paper addresses the approximation problem for fixed points of Zamfirescu mappings (Z-mapping) [Arch. Math. 23(1) (1972), 292-298]. We use a three-step mean iteration that combines Noor's iteration as well as Atsushiba and Takahashi's mean iteration, and we prove a general theorem that extends Berinde's strong convergence theorem [Acta Math. Univ. Comenianae 73 (2004), 119-126]. Our results are obtained in arbitrary real Banach space setting.
