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Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme
Authors:Mujahid Abbas  Safeer Hussain Khan  Abdul Rahim Khan  Ravi P Agarwal
Institution:1. Department of Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan;2. Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar;3. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia;4. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
Abstract:In this paper, we introduce a new one-step iterative process to approximate common fixed points of two multivalued nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems for the proposed process under some basic boundary conditions.
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