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Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations
Author(s) -
Stojan Radenović,
Tran Van An,
Le Thanh Quan
Publication year - 2017
Publication title -
nonlinear analysis modelling and control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.734
H-Index - 32
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/na.2017.4.9
Subject(s) - coincidence point , metric space , mathematics , coincidence , fixed point theorem , contraction (grammar) , nonlinear system , integral equation , fixed point , pure mathematics , mathematical analysis , metric (unit) , discrete mathematics , physics , medicine , alternative medicine , pathology , quantum mechanics , operations management , economics
. 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. Radenović, J. Vujaković, 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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