Faraji, H., Nourouzi, K. (2017). Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-metric spaces. Sahand Communications in Mathematical Analysis, 07(1), 49-62. doi: 10.22130/scma.2017.26524

Hamid Faraji; Kourosh Nourouzi. "Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-metric spaces". Sahand Communications in Mathematical Analysis, 07, 1, 2017, 49-62. doi: 10.22130/scma.2017.26524

Faraji, H., Nourouzi, K. (2017). 'Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-metric spaces', Sahand Communications in Mathematical Analysis, 07(1), pp. 49-62. doi: 10.22130/scma.2017.26524

Faraji, H., Nourouzi, K. Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-metric spaces. Sahand Communications in Mathematical Analysis, 2017; 07(1): 49-62. doi: 10.22130/scma.2017.26524

Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-metric spaces

^{1}Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.

^{2}Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.

Abstract

In this paper, we give a fixed point theorem for $(\psi,\varphi)$-weakly contractive mappings in complete $b$-metric spaces. We also give a common fixed point theorem for such mappings in complete $b$-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.

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