Generalization of best proximity points theorem for non-self proximal contractions of first kind
| Author | Ayari M.I. |
| Author | Mustafa Z. |
| Author | Jaradat M.M. |
| Available date | 2020-04-01T06:54:49Z |
| Publication Date | 2019 |
| Publication Name | Fixed Point Theory and Applications |
| Resource | Scopus |
| ISSN | 16871820 |
| Abstract | The primary objective of this paper is the study of the generalization of some results given by Basha (Numer. Funct. Anal. Optim. 31:569-576, 2010). We present a new theorem on the existence and uniqueness of best proximity points for proximal ?-quasi-contractive mappings for non-self-mappings S: M? N and T: N? M. Furthermore, as a consequence, we give a new result on the existence and uniqueness of a common fixed point of two self mappings. - 2019, The Author(s). |
| Language | en |
| Publisher | Springer International Publishing |
| Subject | Best proximity points Proximal ?-quasi-contractive mappings on metric spaces and proximal cyclic contraction |
| Type | Article |
| Issue Number | 1 |
| Volume Number | 2019 |
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