Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces

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G. S. Saluja, Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces, Int. J. Anal. Appl., 8 (1) (2015), 69-78.

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G. S. Saluja

Abstract

In this paper, we study hybrid fixed point of a modified two-step iteration process with errors for a pair of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive mapping in the intermediate sense in the framework of Banach spaces. Also we establish some strong convergence theorems and a weak convergence theorem for the iteration scheme and mappings. The results presented in this paper extend, improve and generalize some previous work from the existing literature.

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References

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