Coincidence and ‎C‎ommon Fixed Point Results for \alpha-(\psi,\varphi)-Contractive Mappings in Metric Spaces‎

‎‎‎Recently Samet et al. introduced the notion of \alpha-\psi-contractive type mappings and established some fixed point theorems in complete metric spaces. In this paper, we introduce \alpha-(\psi,\varphi)-contractive mappings and stablish coincidence and common fixed point theorems for two mapping in complete metric spaces. We present some examples to illustrate our results. As application, we establish an existence and uniqueness theorem for a solution of some integral ‎equations.‎

Keywords:

Coincidence point , Common fixed point , alpha-(psi , varphi)-contraction , Integral equations

Authors

J. Esmaily

Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, ‎Iran‎.

S. M. Vaezpour

Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, ‎Iran‎.

R. Saadati

Department of Mathematics, Iran University of Science and Technology, Tehran, ‎Iran.

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https://civilica.com/doc/1887004

شناسه ملی سند علمی:

JR_IJIM-11-4_002

تاریخ نمایه سازی: 26 دی 1402

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Esmaily, J. and Vaezpour, S. M. and Saadati, R.,1398,Coincidence and ‎C‎ommon Fixed Point Results for \alpha-(\psi,\varphi)-Contractive Mappings in Metric Spaces‎,https://civilica.com/doc/1887004

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