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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:

Authors : ; ;

Page : 49-62

Keywords : Fixed point; b-Metric space; $(psi; varphi)$-Weakly contractive mapping; Altering distance function;

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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.

Last modified: 2018-02-03 20:12:34