∈φ-contraction and some fixed point results via modified ω-distance mappings in the frame of complete quasi metric spaces and applications

Kamaleldin Abodayeh, T. Qawasmeh, W. Shatanawi, A. Tallafha

Abstract


In this Article, we introduce the notion of an ∈φ-contraction which based on modified ω-distance mappings and employ this new definition to prove some fixed point result. Moreover, we introduced an interesting example and an application to highlight the importance of our work.

Keywords


quasi metric space; $\epsilon_{\varphi}$-contraction; common fixed point; modified $\omega$-distance; ultra distance function

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DOI: http://doi.org/10.11591/ijece.v10i4.pp3839-3853
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ISSN 2088-8708, e-ISSN 2722-2578