Coupled fixed point theorems for single-valued operators in b-metric spaces

MF Bota, A Petruşel, G Petruşel, B Samet - Fixed Point Theory and …, 2015 - Springer
Fixed Point Theory and Applications, 2015Springer
… The aim of this paper to present fixed point results for single-valued operators in b-metric
spaces. The case of scalar metric and the case of vector-valued metric approaches are
considered. As an application, a system of integral equations is studied. … 2 Coupled fixed
points for mixed monotone single-valued operators In this section, we will prove some coupled
fixed point theorem for mixed monotone operators in complete b-metric spaces. The approach
is based on the iterative construction of a Cauchy successive approximations sequence. …
Abstract
The aim of this paper to present fixed point results for single-valued operators in b-metric spaces. The case of scalar metric and the case of vector-valued metric approaches are considered. As an application, a system of integral equations is studied.
Springer
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