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Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process
Authors:Safeer Hussain Khan  Mujahid Abbas  Sartaj Ali
Institution:1. Department of Mathematics, Statistics and Physics, Qatar University, Doha, 2713, Qatar
2. Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria, 0002, South Africa
3. Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan
Abstract:In this article, we prove some strong and weak convergence theorems for quasi-nonexpansive multivalued mappings in Banach spaces. The iterative process used is independent of Ishikawa iterative process and converges faster. Some examples are provided to validate our results. Our results extend and unify some results in the contemporary literature.
Keywords:Multivalued nonexpansive mapping  common fixed point  condition(I)  weak and strong convergence
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