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Iterative Approximations of Attractive Point of A New Generalized Bregman Nonspreading Mapping in Banach Spaces

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Abstract

In this paper, a generic 2-generalized Bregman nonspreading mapping is introduced. Also, a Halpern-type iterative scheme for the approximation of attractive point of such mapping is constructed in the setting of Banach space. The result established generalized some recently announced results in the literature.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Bayero University, Kano, Nigeria

    Bashir Ali & Lawal Yusuf Haruna

  2. Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria

    Lawal Yusuf Haruna

Authors
  1. Bashir Ali
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  2. Lawal Yusuf Haruna
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Correspondence to Bashir Ali.

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Communicated by Ali Abkar.

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Ali, B., Haruna, L.Y. Iterative Approximations of Attractive Point of A New Generalized Bregman Nonspreading Mapping in Banach Spaces. Bull. Iran. Math. Soc. 46, 331–354 (2020). https://doi.org/10.1007/s41980-019-00260-0

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  • DOI: https://doi.org/10.1007/s41980-019-00260-0

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