University of MaraghehSahand Communications in Mathematical Analysis2322-580716120191001A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions1291483636810.22130/scma.2018.78315.359ENGholamreza Heidary JoonaghanyDepartment of Mathematics, Faculty of Science, Science and Research Branch, Islamic Azad University, Tehran, Iran.Ali FarajzadehDepartment of Mathematics, Faculty of Science, University of Razi, Kermanshah 67149, Iran.0000-0001-5221-6741Mahdi AzhiniDepartment of Mathematics, Faculty of Science, Science and Research Branch, Islamic Azad University, Tehran, Iran.Farshid KhojastehDepartment of Mathematics, Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.Journal Article20171229In this paper, a new stratification of mappings, which isĀ called $Psi$-simulation functions, is introducedĀ to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples are furnished to demonstrate the validity of the hypothesis of our results and reality of our generalizations.http://scma.maragheh.ac.ir/article_36368_9a848912e4671909f6a8c863dba82798.pdf