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

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.

Keywords

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