Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces

By Bancha Nanjaras, Bancha Panyanak. 2010

100 citations recorded by the source corpus.

We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a -convergence theorem of the Krasnosel'skii-Mann iteration for asymptotically nonexpansive mappings in this setting. Our results extend and improve many results in the literature.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/059cba7c59f056b1eaded1a5ba589417f8d62bc0

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In Applied Mathematics

1. Hafiz Fukhar-ud-din
2. Mohamed Amine Khamsi
3. Abdul Rahim Khan

In Computational Theory and Mathematics

1. Mohamed Amine Khamsi
2. Abdul Rahim Khan
3. Hafiz Fukhar-ud-din

In Geometry and Topology

1. Mohamed Amine Khamsi
2. Abdul Rahim Khan
3. Hafiz Fukhar-ud-din
4. Zoran Kadelburg
5. Stojan Radenovic

Citations in the corpus

• Strong convergence of a general iteration scheme in C A T ( 0 ) spaces (2011, background): “(2) Theorem 3.1 extends and improves Theorem 5.7 of Nanjaras and Panyanak [18] to the case of an asymptotically quasinonexpansive map defined on an unbounded domain in a CAT (0) space.”