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

Subject Areas : 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

Received: 2019-12-16 Accepted : 2020-06-21 Published : 2020-06-01

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

Abstract :

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.

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