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A new one-step iterative scheme for approximating common fixed points of two multivalued nonexpansive mappings

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Abstract

In this paper, we introduce a new one-step iterative process to approximate the common fixed points of two multivalued nonexpansive mappings. We will also prove a strong convergence theorem in a uniformly convex Banach space under the multivalued version of so-called Condition (A′).

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Authors and Affiliations

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

    Safeer Hussain Khan

  2. Department of Mathematics, Lahore University of Management Sciences, 54792, Lahore, Pakistan

    Mujahid Abbas

  3. Department of Mathematics, Indiana University, Bloomington, IN, 47405-7106, India

    Billy E. Rhoades

Authors
  1. Safeer Hussain Khan
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  2. Mujahid Abbas
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  3. Billy E. Rhoades
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Correspondence to Mujahid Abbas.

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Khan, S.H., Abbas, M. & Rhoades, B.E. A new one-step iterative scheme for approximating common fixed points of two multivalued nonexpansive mappings. Rend. Circ. Mat. Palermo 59, 151–159 (2010). https://doi.org/10.1007/s12215-010-0012-4

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  • DOI: https://doi.org/10.1007/s12215-010-0012-4

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