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

نویسندگان

  • J. Esmaily Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, ‎Iran‎.
  • R. Saadati Department of Mathematics, Iran University of Science and Technology, Tehran, ‎Iran.
  • S. M. Vaezpour Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, ‎Iran‎.
چکیده مقاله:

‎‎‎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.‎

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عنوان ژورنال

دوره 11  شماره 4

صفحات  249- 261

تاریخ انتشار 2019-12-01

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