Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process

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Authors

Khan, Safeer Hussain
Abbas, Mujahid
Ali, Sartaj

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Publisher

Springer

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.

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Keywords

Multivalued nonexpansive mapping, Common fixed point, Condition (I), Weak and strong convergence

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Citation

Khan, SH, Abbas, M & Ali, S 2014, 'Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process', Acta Mathematica Sinica, vol. 30, no. 7, pp. 1231-1241.