Weak and strong convergence theorems for generalized nonexpansive mappings
Functional Analysis
2014-03-24 v1
Abstract
We consider a class of generalized nonexpansive mappings introduced by Karapinar [5] and seen as a generalization of Suzuki (C)-condition. We prove some weak and strong convergence theorems for approximating fixed points of such mappings under suitable conditions in uniformly convex Banach spaces. Our results generalize those of Khan and Suzuki [4] to the case of this kind of mappings and, in turn, are related to a famous convergence theorem of Reich [2] on nonexpansive mappings.
Cite
@article{arxiv.1403.5437,
title = {Weak and strong convergence theorems for generalized nonexpansive mappings},
author = {Safeer Hussain Khan and Ibrahim Karahan},
journal= {arXiv preprint arXiv:1403.5437},
year = {2014}
}
Comments
11 pages