On the Structure of Minimal Sets of Relatively Nonexpansive Mappings
- 17 July 2013
- journal article
- research article
- Published by Taylor & Francis Ltd in Numerical Functional Analysis and Optimization
- Vol. 34 (8), 845-860
- https://doi.org/10.1080/01630563.2013.763824
Abstract
In this article, we study the structure of minimal sets of relatively non-expansive mappings. We consider the cyclic and the noncyclic cases and show that results alike to the celebrated Goebel-Karlovitz lemma for non-expansive self-mappings can be obtained for relatively non-expansive mappings.Keywords
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