Convergence theorems in new generalized type of metric spaces and their applications
9.38$
M. A. Ahmed1, A. Kamal2,† and Asmaa M. Abd-Elal3
Bull. Pure Appl. Sci. Sect. E Math. Stat.
42E(2), 180–185 (2023)
e-ISSN:2320-3226, Print ISSN:0970-6577
DOI: 10.48165/bpas.2023.42E.2.6
Description
Description
M. A. Ahmed1, A. Kamal2,† and Asmaa M. Abd-Elal3
1. Department of Mathematics, Faculty of Science,
Majmaah University, Al-Zulfi, Saudi Arabia.
2. Department of Mathematics, College of Sciences and Arts at Muthnib,
Qassim University, Saudi Arabia.
2,3. Department of Mathematics, Faculty of Science,
Port Said University, Port Said 42521, Egypt.
1. E-mail: mahmed68@yahoo.com , 2. E-mail: alaa_mohamed1@yahoo.com , ak.ahmed@qu.edu.sa
3. E-mail: asmaamoh1221@yahoo.com
∗ Communicated, edited and typeset in Latex by Lalit Mohan Upadhyaya (Editor-in-Chief).
Received November 14, 2022 / Revised September 21, 2023 / Accepted September 25, 2023. Online
First Published on December 25, 2023 at https://www.bpasjournals.com/.
†Corresponding author A. Kamal, E-mail: alaa_mohamed1@yahoo.com , ak.ahmed@qu.edu.sa
Abstract
In the present paper we introduce a new generalized type of metric spaces called the right quasi-metric spaces. We state and prove convergence theorems to a fixed point for any map in these spaces. Finally, we give applications of our results. These results generalize the corresponding results in M. A. Ahmed and F. M. Zeyada (On convergence of a sequence in complete metric spaces and its applications to some iterates of quasi-nonexpansive mappings, J. Math. Anal. Appl., 274(1), 458–465, 2002).
Key words Convergence theorems, q-metric space, rq-metric space.
2020 Mathematics Subject Classification 54E35, 54E99.
