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Applied Mathematics and ComputationVolume 273, 15 January 2016, Pages 155-164

A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations(Article)

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  • aFaculty of Mathematics and Information Technology, Teacher Education, Dong Thap University, Cao Lanch City, Dong Thap Province, Viet Nam
  • bFaculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Novi Sad, 21 000, Serbia
  • cFaculty of Sciences, Department of Mathematics, Radoja Domanovića 12, Kragujevac, 34 000, Serbia
  • dFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, Beograd, 11120, Serbia

Abstract

In this paper we obtain some equivalences between cyclic contractions and non-cyclic contractions in the framework of b-metric spaces. Our results improve and complement several recent fixed point results for cyclic contractions in b -metric spaces established by George et al. (2015) and Nashine et al. (2014). Moreover, all the results are with much shorter proofs. In addition, an application to integral equations is given to illustrate the usability of the obtained results. © 2015 Elsevier Inc. All rights reserved.

Author keywords

b-metric spaceCyclic mapFixed pointIntegral equation

Indexed keywords

Engineering controlled terms:Set theoryTopology
Engineering uncontrolled termsb-MetricFixed points
Engineering main heading:Integral equations
  • ISSN: 00963003
  • CODEN: AMHCB
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1016/j.amc.2015.09.089
  • Document Type: Article
  • Publisher: Elsevier Inc.

  Radenović, S.; Faculty of Mathematics and Information Technology, Teacher Education, Dong Thap University, Cao Lanch City, Dong Thap Province, Viet Nam
© Copyright 2015 Elsevier B.V., All rights reserved.

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