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Remarks on contractive mappings via \(\Omega\)-distance. (English) Zbl 1491.54082

Summary: Very recently, some authors discovered that some fixed point results in the context of a \(G\)-metric space can be derived from the fixed point results in the context of a quasi-metric space and hence the usual metric space. In this article, we investigate some fixed point results in the framework of a \(G\)-metric space via \(\Omega\)-distance that cannot be obtained by the usual fixed point results in the literature. We also add an application to illustrate our results.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
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References:

[1] doi:10.1016/j.amc.2009.04.085 · Zbl 1185.54037 · doi:10.1016/j.amc.2009.04.085
[2] doi:10.1016/j.na.2005.10.017 · Zbl 1106.47047 · doi:10.1016/j.na.2005.10.017
[3] doi:10.1090/S0002-9939-03-07220-4 · Zbl 1060.47056 · doi:10.1090/S0002-9939-03-07220-4
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