Makale
Tam Makale
Uluslararası
2015
Convergence Theorems of a New Three-Step Iteration for Nonself Asymptotically Nonexpansive Mappings
Thai Journal of Mathematics
Cilt 13 · Sayı 2 · ss. 465–480 · 01.08.2015
Özet
Let E be a real uniformly convex and smooth Banach space with P as a sunny nonexpansive retraction, K be a nonempty closed convex subset of E. Let T-i : K -> E (i = 1, 2, 3) be three of weakly inward and nonself asymptotically nonexpansive mappings with respect to P. It is proved that three step iteration converges weakly and strongly to a common fixed point of T-i (i = 1, 2, 3) under certain conditions. It presents some new results in this paper.
Atıf için künye
GÜNDÜZ, B., & Akbulut, S. (2015). Convergence Theorems of a New Three-Step Iteration for Nonself Asymptotically Nonexpansive Mappings. Thai Journal of Mathematics, 13(2), 465–480.
BibTeX
@article{gunduz2015-73286,
author = {GÜNDÜZ, BİROL and Akbulut, Sezgin},
title = {Convergence Theorems of a New Three-Step Iteration for Nonself Asymptotically Nonexpansive Mappings},
journal = {Thai Journal of Mathematics},
year = {2015},
volume = {13},
number = {2},
pages = {465--480},
issn = {1686-0209},
url = {https://akademik.atauni.edu.tr/yayinlar/73286-convergence-theorems-of-a-new-three-step-iteration-for-nonself-asymptotically}
}