Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations
Articles
Stojan Radenovic´
Ton Duc Thang University, Vietnam
Tran Van Van An
Ton Duc Thang University, Vietnam
Le Thanh Thanh Quan
Ton Duc Thang University, Vietnam
Published 2017-07-10
https://doi.org/10.15388/NA.2017.4.9
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Keywords

b-metric
T-contraction
fixed point
integral equation

How to Cite

Radenovic´, S., An, T.V.V. and Quan, L.T.T. (2017) “Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations”, Nonlinear Analysis: Modelling and Control, 22(4), pp. 545–565. doi:10.15388/NA.2017.4.9.

Abstract

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.

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