Integral type contraction and coupled fixed point theorems in ordered G-metric spaces

محورهای موضوعی : Fixed point theory

E. Lotfali Ghasab ¹ , H. Majani ² , G. Soleimani Rad ³

1 - Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
2 - Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
3 - Young Researchers and Elite club, West Tehran Branch, Islamic Azad University, Tehran, Iran

تاریخ دریافت : 1398/09/25 تاریخ پذیرش : 1399/04/01 تاریخ انتشار : 1399/03/12

کلید واژه: Integral type contraction, coupled fixed point, Lebesgue integrals, ordered G-metric space,

چکیده مقاله :

In this paper, we apply the idea of integral type contraction and prove some coupled fixed point theorems for such contractions in ordered $G$-metric space. Also, we support the main results by an illustrative example.