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The Kannan’s fixed point theorem in a cone rectangular metric space. (English) Zbl 1173.54321

Summary: Recently, A. Azam, M. Arshad and I. Beg [Appl. Anal. Discrete Math. 3, No. 2, 236–241 (2009; Zbl 1274.54113)] 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 extend Kannan’s fixed point theorem in such spaces.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E35 Metric spaces, metrizability
54E50 Complete metric spaces

Citations:

Zbl 1274.54113
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