|
|||||
|
|
On the Structure of Minimal Sets of Relatively Nonexpansive Mappings |
|
| Authors: | Rafa Espínola Moosa Gabeleh |
| Affiliation: | 1. IMUS—Instituto Matemático de la Universidad de Sevilla, Departamento de Análisis Matemático , Universidad de Sevilla , Sevilla , Spain espinola@us.es;3. Department of Mathematics , Ayatollah Boroujerdi University , Boroujerd , Iran |
| 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: | Best proximity point Fixed point Proximal normal structure Property UC Relatively non-expansive mapping |