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One-Step Iteration Scheme for Multivalued Nonexpansive Mappings in CAT(0) Spaces

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Abstract

In this paper, we introduce one-step iteration scheme involving two multivalued nonexpansive mappings in CAT(0) spaces and utilize the same to prove Δ-convergence as well as strong convergence theorems with and without end point conditions. Our results generalize and extend several relevant results in the literature.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Izhar Uddin & Javid Ali

  2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    Juan J. Nieto

  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Juan J. Nieto

Authors
  1. Izhar Uddin
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  2. Juan J. Nieto
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  3. Javid Ali
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Correspondence to Javid Ali.

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Uddin, I., Nieto, J.J. & Ali, J. One-Step Iteration Scheme for Multivalued Nonexpansive Mappings in CAT(0) Spaces. Mediterr. J. Math. 13, 1211–1225 (2016). https://doi.org/10.1007/s00009-015-0531-5

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  • DOI: https://doi.org/10.1007/s00009-015-0531-5

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