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A fixed point theorem for uniformly locally contractive mappings in a C-chainable cone rectangular metric space
- Source :
- Surveys in Mathematics and its Applications, Vol 6 (2011), Pp 107-116 (2011)
- Publication Year :
- 2011
- Publisher :
- University Constantin Brancusi of Targu-Jiu, 2011.
-
Abstract
- Recently, Azam, Arshad and Beg [ Banach contraction principle on cone rectangular metric spaces, Appl. Anal. Discrete Math. 2009] introduced the notion of cone rectangular metric spaces by replacing the triangular inequality of a cone metric space by a rectangular inequality. In this paper, we introduce the notion of c-chainable cone rectangular metric space and we establish a fixed point theorem for uniformly locally contractive mappings in such spaces. An example is given to illustrate our obtained result.
- Subjects :
- Fixed point
C-chainable cone rectangular metric space
Mathematics
QA1-939
Subjects
Details
- Language :
- English, French
- ISSN :
- 18437265 and 18426298
- Volume :
- 62011)
- Database :
- Directory of Open Access Journals
- Journal :
- Surveys in Mathematics and its Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.49cda4d1d9294267a908df127dcd202e
- Document Type :
- article