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.
Samet, B., Vetro, C. (2011). A fixed point theorem for uniformly locally contractive mappings in a C-chainable cone rectangular metric space. SURVEYS IN MATHEMATICS AND ITS APPLICATIONS, 6, 107-116.
A fixed point theorem for uniformly locally contractive mappings in a C-chainable cone rectangular metric space
VETRO, Calogero
2011-01-01
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.
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