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Journal of Inequalities and Applications

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Open Access 01-12-2009 | Research Article

Weak Contractions, Common Fixed Points, and Invariant Approximations

Authors: Nawab Hussain, Yeol Je Cho

Published in: Journal of Inequalities and Applications | Issue 1/2009

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Abstract

The existence of common fixed points is established for the mappings, where

https://static-content.springer.com/image/art%3A10.1155%2F2009%2F390634/MediaObjects/13660_2009_Article_1948_IEq1_HTML.gif

https://static-content.springer.com/image/art%3A10.1155%2F2009%2F390634/MediaObjects/13660_2009_Article_1948_IEq2_HTML.gif

-weak contraction on a nonempty subset of a Banach space. As application, some results on the invariant best approximation are proved. Our results unify and substantially improve several recent results given by some authors.

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Title: Weak Contractions, Common Fixed Points, and Invariant Approximations
Authors: Nawab Hussain
Yeol Je Cho
Publication date: 01-12-2009
Publisher: Springer International Publishing
Published in: Journal of Inequalities and Applications / Issue 1/2009
Electronic ISSN: 1029-242X
DOI: https://doi.org/10.1155/2009/390634

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