Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces

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G. S. Saluja, Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces, Int. J. Anal. Appl., 4 (1) (2014), 45-57.

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G. S. Saluja

Abstract

The aim of this paper to study a Noor-type iteration process with errors for approximating common fixed point of a finite family of uniformly L-Lipschitzian asymptotically quasi-nonexpansive type mappings in the framework of convex metric spaces. We give a necessary and sufficient condition for strong convergence of said iteration scheme involving a finite family of above said mappings and also establish a strong convergence theorem by using condition (A). The results presented in this paper extend, improve and unify some existing results in the previous work.

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References

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