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Solution by iteration of split equality problem involving some families of map**s in Banach spaces

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Abstract

An iterative scheme is proposed for approximation of common element of set of solution of split equality fixed point problems for \(\eta \)-demimetric map**s, set of common fixed points of finite families of relatively quasi-nonexpansive map**s and set of common solutions of systems of equilibrium problems in specified real Banach spaces. Our theorems extend and compliment several existing results.

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Acknowledgements

The authors would like to thank the Simons Foundation and the coordinators of Simons Foundation for Sub-Sahara Africa Nationals with base at Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Botswana, for providing financial support that helped in carrying out this research. We thank the reviewer(s) for constructive criticisms that helped to improve the quality of this paper.

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  1. Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria

    Eric U. Ofoedu

  2. Department of Mathematics, Federal University of Technology, Owerri, Imo State, Nigeria

    Nnamdi N. Araka

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  1. Eric U. Ofoedu
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Correspondence to Eric U. Ofoedu.

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Ofoedu, E.U., Araka, N.N. Solution by iteration of split equality problem involving some families of map**s in Banach spaces. Afr. Mat. 31, 383–406 (2020). https://doi.org/10.1007/s13370-019-00729-5

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