Tripled coincidence point under ϕ-contractions in ordered $G_b$-metric spaces

الموضوعات :

R. Jalal Shahkoohi ¹ (Department of Mathematics and Statistics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran)
S. A. Kazemipour ² (Department of Mathematics and Statistics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran)
A. Rajabi Eyvali ³ (Department of Mathematics and Statistics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran)

تاريخ الإرسال : 30 الأحد , رمضان, 1435 تاريخ التأكيد : 24 الثلاثاء , صفر, 1436 تاريخ الإصدار : 28 السبت , صفر, 1436

الکلمات المفتاحية: Tripled xed point, Generalized weakly contraction, Generalized metric spaces, Partially ordered set,

ملخص المقالة :

In this paper, tripled coincidence points of mappings satisfying $\psi$-contractiveconditions in the framework of partially ordered $G_b$-metric spaces are obtained. Our resultsextend the results of Aydi et al. [H. Aydi, E. Karapinar and W. Shatanawi, Tripled fixedpoint results in generalized metric space, J. Applied Math., Volume 2012, Article ID 314279,10 pages]. Moreover, some examples of the main result are given.

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