Hamid Faraji
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
[ 1 ] - Fixed and common fixed points for $(psi,varphi)$-weakly contractive mappings in $b$-metric spaces
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.
[ 2 ] - A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces
In this paper, we give some results on the common fixed point of self-mappings defined on complete $b$-metric spaces. Our results generalize Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces. In particular, we show that two self-mappings satisfying a contraction type inequality have a unique common fixed point. We also give some examples to illustrate the given results.
نویسندگان همکار