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Fixed-Point Iterations for Asymptotically Nonexpansive Mappings in Banach Spaces
Authors:Benlong Xu  Muhammad Aslam Noor
Institution:
  • a Department of Mathematics, Qufu Normal University, Qufu, Shandong, 273165, People's Republic of Chinaf1blxu@mscs.dal.caf1
  • b 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
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