Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces

G.s. Saluja

EN

Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces

Abstract

In this paper, we study strong convergence of multi-step iterations with errors for a finite family of generalized asymptotically quasinonexpansive mappings in the framework of convex metric spaces. The new iteration scheme includes modified Mann and Ishikawa iterations with errors, the three-step iteration scheme of Xu and Noor as special cases in Banach spaces. Our results extend and generalize many known results from the current literature.

Keywords

Generalized asymptotically quasi-nonexpansive mapping,multi-step iterations with errors,common fixed point,strong convergence,convex metric

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

G.s. Saluja ^* This is me
India

Publication Date

April 1, 2014

Submission Date

January 1, 2014

Acceptance Date

-

Published in Issue

Year 2014 Volume: 43 Number: 2

IZ

https://izlik.org/JA53HE97MY

Cite

RIS / Bibtex

APA

Saluja, G. (2014). Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces. Hacettepe Journal of Mathematics and Statistics, 43(2), 209-225. https://izlik.org/JA53HE97MY

AMA

1.Saluja G. Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces. Hacettepe Journal of Mathematics and Statistics. 2014;43(2):209-225. https://izlik.org/JA53HE97MY

Chicago

Saluja, G.s. 2014. “Convergence to Common Fixed Points of Multi-Step Iteration Process for Generalized Asymptotically Quasi-Nonexpansive Mappings in Convex Metric Spaces”. Hacettepe Journal of Mathematics and Statistics 43 (2): 209-25. https://izlik.org/JA53HE97MY.

EndNote

Saluja G (April 1, 2014) Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces. Hacettepe Journal of Mathematics and Statistics 43 2 209–225.

IEEE

[1]G. Saluja, “Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 2, pp. 209–225, Apr. 2014, [Online]. Available: https://izlik.org/JA53HE97MY

ISNAD

Saluja, G.s. “Convergence to Common Fixed Points of Multi-Step Iteration Process for Generalized Asymptotically Quasi-Nonexpansive Mappings in Convex Metric Spaces”. Hacettepe Journal of Mathematics and Statistics 43/2 (April 1, 2014): 209-225. https://izlik.org/JA53HE97MY.

JAMA

1.Saluja G. Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces. Hacettepe Journal of Mathematics and Statistics. 2014;43:209–225.

MLA

Saluja, G.s. “Convergence to Common Fixed Points of Multi-Step Iteration Process for Generalized Asymptotically Quasi-Nonexpansive Mappings in Convex Metric Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 2, Apr. 2014, pp. 209-25, https://izlik.org/JA53HE97MY.

Vancouver

1.G.s. Saluja. Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces. Hacettepe Journal of Mathematics and Statistics [Internet]. 2014 Apr. 1;43(2):209-25. Available from: https://izlik.org/JA53HE97MY