A New Common Fixed Point Theorem for Three Commuting Mappings

Axioms

Meryeme El Harrak¹  Ahmed Hajji¹ 

[1] LabMIA-SI, Department of Mathematics, Faculty of Sciences, Mohammed V University in Rabat, Rabat BP1014, Morocco;

关键词: common fixed point;    measure of noncompactness;    Darbo’s fixed point theorem;   

DOI  :  10.3390/axioms9030105

来源: DOAJ

【 摘 要 】

In the present paper, we propose a common fixed point theorem for three commuting mappings via a new contractive condition which generalizes fixed point theorems of Darbo, Hajji and Aghajani et al. An application is also given to illustrate our main result. Moreover, several consequences are derived, which are generalizations of Darbo’s fixed point theorem and a Hajji’s result.

【 授权许可】

Unknown