University of MaraghehSahand Communications in Mathematical Analysis2322-580707120170701Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-metric spaces49622652410.22130/scma.2017.26524ENHamidFarajiDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.KouroshNourouziFaculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.Journal Article20170121In 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.https://scma.maragheh.ac.ir/article_26524_8a6a402e1e1be61df43bb98824f5b617.pdf