Relation-theoretic coincidence and common fixed point results under (F,R)g $(F,\mathcal{R})_{g}$-contractions with an application

Fixed Point Theory and Applications

Rqeeb Gubran¹  Mohammad Imdad²  Waleed M. Alfaqih³  Idrees A. Khan⁴ 

[1] Department of Mathematics, Aden University;Department of Mathematics, Aligarh Muslim University;Department of Mathematics, Hajjah University;Department of Mathematics, Integral University;

关键词: Fixed point;    F-contraction;    Coincidence point;    Common fixed point;    Binary relation;    Integral equation;   

DOI  :  10.1186/s13663-019-0662-7

来源: DOAJ

【 摘 要 】

Abstract In this paper, we begin with some observations on F-contractions. Thereafter, we introduce the notion of (F,R)g $(F,\mathcal{R})_{g}$-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.

【 授权许可】

Unknown