Some coupled coincidence point results in partially ordered metric spaces

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_MACA-3-2_004

تاریخ نمایه سازی: 19 تیر 1400

Abstract:

In this paper, we introduce the notion of partial-compatibility of mappings in an ordered partial metric space and use this notion to establish coupled coincidence point theorems for \phi-mixed monotone mappings satisfying a nonlinear contraction condition. Our consequences is an extension of the results of Shatanawi et al. [W. Shatanawi, B. Samet and M. Abbas, \textit{Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces}, Math. Comp. Model., ۵۵(۳-۴) (۲۰۱۲), ۶۸۰-۶۸۷]. We also provide an example to illustrate the results presented herein.

Authors

Laya Fadakar

Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran

Huseyin Işık

Department of Engineering Science, Bandırma Onyedi Eylul University, ۱۰۲۰۰, Bandırma, Balıkesir, Turkey

Shirin Tavakoli

Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran

Arezo Mardzad

Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran