Best proximity points: global minimization of multivalued non-self mappings |
| |
Authors: | Moosa Gabeleh |
| |
Affiliation: | 1. Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
|
| |
Abstract: | In this article, we give a best proximity point theorem for generalized contractions in metric spaces with appropriate geometric property. We also, give an example which ensures that our result cannot be obtained from a similar result due to Amini-Harandi (Best proximity points for proximal generalized contractions in metric spaces. Optim Lett, 2012). Moreover, we prove a best proximity point theorem for multivalued non-self mappings which generalizes the Mizoguchi and Takahashi’s fixed point theorem for multivalued mappings. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|