TY - JOUR

T1 - A fixed point theorem for uniformly locally contractive mappings in a C-chainable cone rectangular metric space

AU - Vetro, Calogero

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - C-chainable cone rectangular metric space

KW - Fixed point

KW - Uniformly locally contractive mappings.

KW - C-chainable cone rectangular metric space

KW - Fixed point

KW - Uniformly locally contractive mappings.

UR - http://hdl.handle.net/10447/60441

UR - http://www.utgjiu.ro/math/sma/v06/v06.html

M3 - Article

VL - 6

SP - 107

EP - 116

JO - Surveys in Mathematics and its Applications

JF - Surveys in Mathematics and its Applications

SN - 1843-7265

ER -