Multivalued \(f\)-weakly Picard mappings (Q2373863)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multivalued \(f\)-weakly Picard mappings |
scientific article |
Statements
Multivalued \(f\)-weakly Picard mappings (English)
0 references
16 July 2007
0 references
By introducing the concept of multi-valued \(f\)-weak contraction and generalized multi-valued \(f\)-weak contraction, the author obtains two coincidence fixed point theorems which include, in particular, two common fixed point theorems. If \(f=I\), the identity map, one obtains the results co-authored by the reviewer: \textit{M. Berinde} and \textit{V. Berinde} [J. Math. Anal. Appl. 326, 772--782 (2007; Zbl 1117.47039)].
0 references
metric space
0 references
multi-valued \(f\)-weak contraction
0 references
coincidence point
0 references
common fixed point
0 references
convergence theorem
0 references
