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Caristi-Kirk type and Boyd&Wong-Browder-Matkowski-Rus type fixed point results in b-metric spaces

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arxiv 1512.03968 v1 pith:L2NTYME4 submitted 2015-12-12 math.CA

Radu Miculescu , Alexandru Mihail This is my paper · ORCID
classification math.CA
keywords b-metrictypespacesboydcaristi-kirkfixedpointresults
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In this paper, based on a lemma giving a sufficient condition for a sequence with elements from a b-metric space to be Cauchy, we obtain Caristi-Kirk type and Boyd&Wong-Browder-Matkowski-Rus type fixed point results in the framework of b-metric spaces. In addition, we extend Theorems 1,2 and 3 from [M. Bota,V. Ilea, E. Karapinar, O. Mlesnite, On alpha-star-phi-contractive multi-valued operators in b-metric spaces and applications, Applied Mathematics & Information Sciences, 9 (2015), 2611-2620].

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fixed Points of Meir-Keeler and Leader Contractions with bounded orbits in b-Metric Spaces

    math.MG 2025-06 reject novelty 4.0 of 10

    The main fixed-point theorem for non-expansive Leader contractions in b-metric spaces is unsupported because the proof's central inequality is invalid.

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