Some new fixed point results in \(b\)-metric spaces
type: Item
instance of: scholarly article
title: Some new fixed point results in \(b\)-metric spaces
zbMATH Open document ID: 1398.54085
author: Isa Yildirim
author: Arslan Hojat Ansari
published in: Topological Algebra and its Applications
publication date: 2018-07-31T00:00:00Z
review text: The authors obtain fixed point theorems for self mappings satisfying rational-type contraction conditions in \((b)\)-metric spaces. Some results (Theorem 2.3, Corollary 2.5 and Corollary 2.7) are based on rational-type contractive conditions that involve the almost contraction term \(L\cdot d(y,Tx)\), with \(L\geq 0\), first introduced and studied by the reviewer [\textit{V. Berinde}, Nonlinear Anal. Forum 9, No. 1, 43--53 (2004; Zbl 1078.47042)]. No examples are given to illustrate the obtained new results.
reviewed by: Vasile Berinde
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6911899
zbMATH Keywords: \(b\)-metric space
zbMATH Keywords: fixed point
zbMATH Keywords: rational-type contraction condition
MaRDI profile type: Publication
full work available at URL: taa-2018-0009
OpenAlex ID: W2806956675
cites work: Q3983330
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DOI: 10.1515/TAA-2018-0009
description: scientific article; zbMATH DE number 6911899