Some phi-coupled fixed point results via modified F-control function's concept in metric spaces and its applications

摘要

The aim of this paper is to propose a new phi-coupled fixed point theorem for a mixed monotone mapping in a metric space, which is taken no account of the continuity of the mapping. To this end, we introduce the notions of phi-coupled fixed point and modified F-control function. Our obtained results are applied to derive some phi-coupled fixed point theorems in partial metric spaces and quasi-metric spaces, respectively. Some applications to matrix equations and integral equations are also presented so as to illustrate our results. (C) 2018 Elsevier B.V. All rights reserved.