Fixed and common fixed points for $(psi,varphi)$-weakly contractive mappings in $b$-metric spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.7, No. 1)Publication Date: 2017-07-01
Authors : Hamid Faraji; Kourosh Nourouzi;
Page : 49-62
Keywords : Fixed point; b-Metric space; $(psi; varphi)$-Weakly contractive mapping; Altering distance function;
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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