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A fixed point theorem for uniformly locally contractive mappings in a C-chainable cone rectangular metric space
B SametCalogero Vetrosubject
Settore MAT/05 - Analisi Matematicalcsh:MathematicsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONC-chainable cone rectangular metric spaceMathematicsofComputing_NUMERICALANALYSISFixed pointlcsh:QA1-939Uniformly locally contractive mappings.description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-09-01 | Surveys in Mathematics and its Applications |