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http://dx.doi.org/10.5831/HMJ.2021.43.2.305

COINCIDENCE POINT RESULTS FOR (𝜙, 𝜓)-WEAK CONTRACTIVE MAPPINGS IN CONE 2-METRIC SPACES  

Islam, Ziaul (Department of Mathematics, University of Malakand)
Sarwar, Muhammad (Department of Mathematics, University of Malakand)
Tunc, Cemil (Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University)
Publication Information
Honam Mathematical Journal / v.43, no.2, 2021 , pp. 305-323 More about this Journal
Abstract
In the present paper, utilizing (𝜙, 𝜓)-weak contractive conditions, unique fixed point and some coincidence point results have been studied in the context of cone 2- metric spaces. Also, our obtained results generalize some results from cone metric space to cone 2-metric space. For the authenticity of the presented work, a non trivial example is also provided.
Keywords
Cone 2-metric spaces; (${\phi}$, ${\psi}$)- weak contraction; weakly compatible mapping; fixed point; coincidence point;
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