Fixed point on generalized dislocated metric spaces

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, Al-Zulfi, Majmaah University, Majmaah, 11952, Saudi Arabia

2 Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

3 Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, Pakistan

4 Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt

Abstract

In 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.

Keywords