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A note on common fixed point theorems for isotone increasing mappings in ordered \(b\)-metric spaces. (English) Zbl 1437.54050

Summary: In this article, we prove the existence of common fixed points for isotone increasing mappings in ordered \(b\)-metric spaces. Our results unite and improve the recent remarkable results established by J. R. Roshan et al. [ibid. 7, No. 4, 229–245 (2014; Zbl 1392.54035)] under much more general conditions and with shorter proofs. An example is given to show the superiority of our genuine generalization.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces

Citations:

Zbl 1392.54035