Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces
type: Item
instance of: scholarly article
title: Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces
zbMATH Open document ID: 1469.54127
author: Ravi P. Agarwal
author: Hassen Aydi
author: E. Karapinar
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: By giving a counter-example, we point out a gap in the paper by the first author [Adv. Theory Nonlinear Anal. Appl. 2, No. 2, 85--87 (2018; Zbl 1412.47137)] where the given fixed point may be not unique and we present the corrected version. We also state the celebrated fixed point theorem of Reich-Rus-Ćirić in the framework of complete partial metric spaces, by taking the interpolation theory into account. Some examples are provided where the main result in papers by \textit{S. Reich} is not applicable [Can. Math. Bull. 14, 121--124 (1971; Zbl 0211.26002); Boll. Unione Mat. Ital., IV. Ser. 5, 26--42 (1972; Zbl 0249.54026); Boll. Unione Mat. Ital., IV. Ser. 4, 1--11 (1971; Zbl 0219.54042)].
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 6994859
zbMATH Keywords: partial metric
zbMATH Keywords: interpolative Reich-Rus-Ćirić type contraction
zbMATH Keywords: fixed point
MaRDI profile type: Publication
full work available at URL: math6110256
OpenAlex ID: W2901018962
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DOI: 10.3390/MATH6110256
description: scientific article; zbMATH DE number 6994859