A new approximation algorithm for fixed points of nonexpansive mappings

    Yong Fu Su Info
    Ravi P. Agarwal Info

Abstract

The aim of this paper is to establish a new approximation algorithm for fixed points of nonexpansive mappings in general Banach spaces and to illustrate some numerical results. The approximation algorithm we shall discuss is xt,n = (tT) n x0, where x0 ∈ D(T) is arbitrary, n is a natural number, and t ∈ (0,1). We shall also provide some numerical error estimates.

First published online: 09 Jun 2011

Keywords:

nonexpansive mapping, fixed point, approximation algorithm, numerical error estimation, convergence

How to Cite

Su, Y. F., & Agarwal, R. P. (2010). A new approximation algorithm for fixed points of nonexpansive mappings. Mathematical Modelling and Analysis, 15(2), 257-264. https://doi.org/10.3846/1392-6292.2010.15.257-264

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April 20, 2010
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Copyright (c) 2010 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2010-04-20

Issue

Vol 15 No 2 (2010)

Section

Articles

Copyright

Copyright (c) 2010 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Su, Y. F., & Agarwal, R. P. (2010). A new approximation algorithm for fixed points of nonexpansive mappings. Mathematical Modelling and Analysis, 15(2), 257-264. https://doi.org/10.3846/1392-6292.2010.15.257-264

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