On common fixed points for \((\alpha,\psi)\)-contractions and generalized cyclic contractions in \(b\)-metric-like spaces and consequences (Q2792683)

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scientific article; zbMATH DE number 6555179
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On common fixed points for \((\alpha,\psi)\)-contractions and generalized cyclic contractions in \(b\)-metric-like spaces and consequences
scientific article; zbMATH DE number 6555179

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    14 March 2016
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    fixed point
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    \(b\)-metric-like space
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    cyclic contraction
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    admissible mappings
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    On common fixed points for \((\alpha,\psi)\)-contractions and generalized cyclic contractions in \(b\)-metric-like spaces and consequences (English)
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    Inspired by \textit{M. A. Alghamdi} et al. [J. Inequal. Appl. 2013, Article ID 402, 25 p. (2013; Zbl 1527.54018)] and others, the authors obtain fixed and common fixed point theorems for contraction type mappings and cyclic contractions in \(b\)-metric-like spaces. They also obtain a few common fixed point theorems in partially ordered \(b\)-metric-like spaces. Illustrative examples are given to justify a part of the hypotheses.
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