Convergence of Multi-step Iterates with Errors for Uniformly Quasi-Lipschitzian Mappings

Gurucharan Singh Saluja; Hemant Kumar Nashine

doi:10.2478/v10324-012-0009-0

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Convergence of Multi-step Iterates with Errors for Uniformly Quasi-Lipschitzian Mappings

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 50 (2012): Issue 1 (November 2012)

By: Gurucharan Singh Saluja and Hemant Kumar Nashine

Open Access

|Nov 2012

Abstract

The aim of this paper is to give some necessary and sufficient conditions for multi-step iterative scheme with errors for a nite family of uniformly quasi-Lipschitzian mappings to converge to common fixed point in a real Banach space. Our results extend and improve the corresponding results of Quan [7], Liu [5, 6], Xu and Noor [9] and many others.

References

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Articles in this issue

DOI: https://doi.org/10.2478/v10324-012-0009-0 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 103 - 113

Published on: Nov 22, 2012

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Uniformly quasi-Lipschitzian mapping,

multi-step iterative scheme with errors,

Related subjects:

© 2012 Gurucharan Singh Saluja, Hemant Kumar Nashine, published by West University of Timisoara
This work is licensed under the Creative Commons License.

Volume 50 (2012): Issue 1 (November 2012)