Common fixed point theorem for two weakly compatible self mappings in b-metric spaces
Authors :
Reza Arab
Author Address :
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.
Abstract :
We prove some fixed and common fixed point theorems for two weakly compatible self mappings in complete $b-$metric spaces. Our results improve and generalize several known results from the current literature and its extension.
Keywords :
Common fixed point, coincidence point, $b$-metric space, $g-\alpha-$admissible mapping, $\alpha-$regular, triangular $\alpha-$admissible, weakly compatible self mappings.
DOI :
Article Info :
Received : January 10, 2016; Accepted : August 21, 2016.
