Some fixed point results of generalized Lipschitz mappings on cone \(b\)-metric spaces over Banach algebras (Q2794944)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some fixed point results of generalized Lipschitz mappings on cone \(b\)-metric spaces over Banach algebras |
scientific article; zbMATH DE number 6554616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some fixed point results of generalized Lipschitz mappings on cone \(b\)-metric spaces over Banach algebras |
scientific article; zbMATH DE number 6554616 |
Statements
11 March 2016
0 references
cone \(b\)-metric space
0 references
periodic point
0 references
generalized Lipschitz condition
0 references
\(P\) property
0 references
\(c\)-sequence
0 references
Some fixed point results of generalized Lipschitz mappings on cone \(b\)-metric spaces over Banach algebras (English)
0 references
In this paper the authors present some metric fixed point theorems in a cone \(b\)-metric space. Conditions which imply that each periodic point is a fixed point are also given.NEWLINENEWLINEReviewer's remarks: (1) For a correct history of the cone metric space, see \textit{P. P. Zabrejko} [Collect. Math. 48, No. 4--6, 825--859 (1997; Zbl 0892.46002)] and \textit{P. D. Proinov} [Fixed Point Theory Appl. 2013, Article ID 103, 38 p. (2013; Zbl 1294.54035)]. (2) For the mapping for which each periodic point is a fixed point, see the Theorem of Equivalent Statements in [\textit{I. A. Rus}, Creat. Math. Inform. 23, No. 2, 243--252 (2014; Zbl 1349.47090)].
0 references
