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Inertial algorithm for approximating a common fixed point for a countable family of relatively nonexpansive maps

Article scientifique 2018 Anglais

Résumé

In this paper, we study an inertial algorithm for approximating a common fixed point for a countable family of relatively nonexpansive maps in a uniformly convex and uniformly smooth real Banach space. We prove a strong convergence theorem. This theorem is an improvement of the result of Matsushita and Takahashi (J. Approx. Theory 134:257–266, 2005 ) and the result of Dong et al. (Optim. Lett. 12:87–102, 2018 ). Finally, we give some applications of our theorem.

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Chidume, C., Ikechukwu, S., Adamu, A. (2018). Inertial algorithm for approximating a common fixed point for a countable family of relatively nonexpansive maps. https://doi.org/10.1186/s13663-018-0634-3

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Auteur(s)

C.E. Chidume S. I. Ikechukwu Abubakar Adamu

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