Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations

In this paper, we prove some fixed point results for T-contraction mappings in partially ordered b-metric spaces, that generalize the main results of [H. Huang, S. Radenovič, J. Vujakovič, On some recent coincidence and immediate consequences in partially ordered b-metric spaces, Fixed Point Theory...

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Bibliographic Details
Published inNonlinear analysis (Vilnius, Lithuania) Vol. 22; no. 4; pp. 545 - 565
Main Authors Radenovic´, Stojan, An, Tran Van Van, Quan, Le Thanh Thanh
Format Journal Article
LanguageEnglish
Published Vilnius University Press 01.01.2017
Subjects
b-metric
fixed point
integral equation
T-contraction
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Summary:In this paper, we prove some fixed point results for T-contraction mappings in partially ordered b-metric spaces, that generalize the main results of [H. Huang, S. Radenovič, J. Vujakovič, On some recent coincidence and immediate consequences in partially ordered b-metric spaces, Fixed Point Theory Appl., 2015, Paper No. 63]. As an application, we discuss the existence for a solution of a nonlinear integral equation.
ISSN:1392-5113
2335-8963
DOI:10.15388/NA.2017.4.9