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

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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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Authors and Affiliations

  1. Department of Mathematics, Statistics and Physics, Qatar University, Doha, 2713, Qatar

    Safeer Hussain Khan

  2. Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria, 0002, South Africa

    Mujahid Abbas

  3. Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan

    Sartaj Ali

Authors
  1. Safeer Hussain Khan
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  2. Mujahid Abbas
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  3. Sartaj Ali
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Correspondence to Safeer Hussain Khan.

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Khan, S.H., Abbas, M. & Ali, S. Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process. Acta. Math. Sin.-English Ser. 30, 1231–1241 (2014). https://doi.org/10.1007/s10114-014-3590-9

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  • DOI: https://doi.org/10.1007/s10114-014-3590-9

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