Fixed point on generalized dislocated metric spaces

Ahmed, M A; Beg, Ismat; Khafagy, S; Nafadi, N. A.

doi:10.22075/ijnaa.2020.20980.2218

Fixed point on generalized dislocated metric spaces

Document Type : Research Paper

Authors

M A Ahmed ¹^{, 2}

Ismat Beg ³

S Khafagy ¹^{, 1}

N. A. Nafadi ⁴

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

10.22075/ijnaa.2020.20980.2218

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

Fixed point

left dislocated metric

right dislocated metric

contraction

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