Strong Convergence Theorem for Finite Family of Generalised Asymptotically Nonexpansive Maps

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Agatha Chizoba Nnubia, Sheila Amina Bishop, Strong Convergence Theorem for Finite Family of Generalised Asymptotically Nonexpansive Maps, Int. J. Anal. Appl., 18 (1) (2020), 71-84.

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Agatha Chizoba Nnubia, Sheila Amina Bishop

Abstract

Let K be a nonexpansive retract of a uniformly convex Banach space X with retraction P and Ti:1 · · ·,m: K-> X a finite family of uniformly continuous generalised asymptotically nonexpansive maps with a nonempty common fixed point set F. We provided and proved sufficient conditions for the strong convergence of a sequence of successive approximations generated by an m-step algorithm to a point of F.

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References

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