A fixed point theorem for uniformly locally contractive mappings in a C-chainable cone rectangular metric space
- Authors: Samet, B; Vetro, C
- Publication year: 2011
- Type: Articolo in rivista (Articolo in rivista)
- Key words: Fixed point; C-chainable cone rectangular metric space; Uniformly locally contractive mappings.
- OA Link: http://hdl.handle.net/10447/60441
Abstract
Recently, Azam, Arshad and Beg [4] 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.