University of MaraghehSahand Communications in Mathematical Analysis2322-580710120180401Some fixed point theorems for $C$-class functions in $b$-metric spaces85962850510.22130/scma.2017.28505ENArslan Hojat AnsariDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.Abdolrahman RazaniDepartment of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.Journal Article20170225In this paper, via $C$-class functions, as a new class of functions, a fixed theorem in complete $b$-metric spaces is presented. Moreover, we study some results, which are direct consequences of the main results. In addition, as an application, the existence of a solution of an integral equation is given.http://scma.maragheh.ac.ir/article_28505_afd91ddcdba1fe1a635f69bdc0a74c71.pdf