Fixed-Point Iterations for Asymptotically Nonexpansive Mappings in Banach Spaces |
| |
Authors: | Benlong Xu Muhammad Aslam Noor |
| |
Affiliation: | a Department of Mathematics, Qufu Normal University, Qufu, Shandong, 273165, People's Republic of Chinaf1blxu@mscs.dal.caf1b Etisalat College of Engineering, Sharjah, United Arab Emiratesf2noor@ece.ac.aef2 |
| |
Abstract: | In this paper, we suggest and analyze a three-step iterative scheme for asymptotically nonexpansive mappings in Banach spaces. The new iterative scheme includes Ishikawa-type and Mann-type interations as special cases. The results obtained in this paper represent an extension as well as refinement of previous known results. |
| |
Keywords: | three-step iterations asymptotically nonexpansive mappings uniformly convex Banach spaces Mann-type and Ishikawa-type iterations |
本文献已被 ScienceDirect 等数据库收录! |