Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220301Fixed point on generalized dislocated metric spaces831836560110.22075/ijnaa.2020.20980.2218ENM AAhmedDepartment of Mathematics, Faculty of Science, Al-Zulfi, Majmaah University, Majmaah, 11952, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptIsmatBegCentre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, Pakistan0000-0002-4191-1498SKhafagyDepartment of Mathematics, Faculty of Science, Al-Zulfi, Majmaah University, Majmaah, 11952, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Al-Zulfi, Majmaah University, Majmaah, 11952, Saudi ArabiaN. A.NafadiDepartment of Mathematics, Faculty of Science, Port Said University, Port Said, EgyptJournal Article20191027In the present paper, we introduce new types of convergence of a sequence in left dislocated and right dislocated metric spaces. Also, we generalize the Banach contraction principle in these newly defined generalized metric spaces.https://ijnaa.semnan.ac.ir/article_5601_ae584b0e9f2cb4138d40147bad8a3eff.pdf