<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Department of Mathematics and Information Technology Govt. Nagarjuna P.G. College of Science, Raipur (C.G.), India.

Department of Mathematics, Disha Institute of Management and Technology Satya Vihar, Vidhansabha - Chandrakhuri Marg (Baloda Bazar Road), Mandir, Hasaud, Raipur - 492101(Chhattisgarh), India

Annals of West University of Timisoara - Mathematics and Computer Science

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...

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

Published Online: Nov 22, 2012

Page range: 103 - 113

DOI: https://doi.org/10.2478/v10324-012-0009-0

Keywords
Uniformly quasi-Lipschitzian mapping, multi-step iterative scheme with errors, common fixed point, Banach space, strong convergence.

This content is open access.

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

Published Online: Nov 22, 2012

Page range: 103 - 113

DOI: https://doi.org/10.2478/v10324-012-0009-0

KeywordsUniformly quasi-Lipschitzian mapping, multi-step iterative scheme with errors, common fixed point, Banach space, strong convergence.

This content is open access.

Keywords
Uniformly quasi-Lipschitzian mapping, multi-step iterative scheme with errors, common fixed point, Banach space, strong convergence.