Remarks on some fixed point results in \(b\)-metric spaces. (English) Zbl 1398.54062
Summary: The main purpose of this paper is to generalize, improve and complement several famous results in \(b\)-metric spaces. Moreover, an essential estimation of \(b\)-quasi-contraction in \(b\)-metric spaces is given. We also establish some new results for multi-valued mappings in the metric and \(b\)-metric concept. We explore some different proof techniques which provide short proofs of the results.
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