A note on the Meir-Keeler theorem in the context of b-metric spaces
Abstract
In this note we consider the famous Meir-Keeler’s theorem in the context of b-metric spaces. Our result generalizes, improves, compliments, unifies and enriches several known ones in the existing literature. Also, our proof of Meir-Keeler’s theorem in the context of standard metric spaces is much shorter and nicer than the ones in (Ćirić, 2003) and (Meir & Keeler, 1969, pp.326-329).
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