文章基本信息

标题：Relation-theoretic coincidence and common fixed point results under ( F , R ) g $(F,\mathcal{R})_{g}$ -contractions with an application
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作者：Waleed M. Alfaqih ; Mohammad Imdad ; Rqeeb Gubran 等
期刊名称：Fixed Point Theory and Applications
印刷版ISSN：1687-1820
电子版ISSN：1687-1812
出版年度：2019
卷号：2019
期号：1
页码：1-18
DOI：10.1186/s13663-019-0662-7
出版社：Hindawi Publishing Corporation
摘要：In this paper, we begin with some observations on F-contractions. Thereafter, we introduce the notion of $(F,\mathcal{R})_{g}$ -contractions and utilize the same to prove some coincidence and common fixed point results in the setting of metric spaces endowed with binary relations. An example is also given to exhibit the utility of our results. We also deduce some consequences in the setting of ordered metric spaces. As an application, we investigate the existence and uniqueness of a solution of integral equation of Volterra type.
关键词：Fixed point; F-contraction; Coincidence point; Common fixed point;