Weak and strong convergence of ishikawa iterates for nonself asymptotically quasi-nonexpansive mappings. | [Journal of Natural Sciences and mathematics • 2010]

Author(s):

1. Abdul Rahim Khan: Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

2. Hafiz Fukharuddin: Department of Mathematics, The Islamia University of Bahawalpur, 63100, Pakistan

Abstract:

In this paper, we define and study convergence of an Ishikawa type iteration scheme with a new and weaker control condition for two nonself asymptotically quasi-nonexpansive mappings on a uniformly convex Banach space. Our results improve and extend the corresponding results of Khan, Takahashi [4], Rhoades ]6], Tan, Xu [9], Chidume, Ofoedu, Zegeye [14], Wang [15], and Qihou [18].

Page(s): 23-39

DOI: DOI not available

Published: Journal: Journal of Natural Sciences and mathematics, Volume: 50, Issue: 1,2, Year: 2010

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