RECTANGULAR Mb-METRIC SPACES AND FIXED POINT RESULTS
DOI:
https://doi.org/10.5281/erz57z43Abstract
In this paper, we enlarge the class of rectangular M-metric spaces
by considering the class of rectangular Mb-metric spaces and utilize the same to
prove an analogue of Banach contraction principle in such spaces. Our main
result extends and improves some relevant results of the existing literature.
Finally, we adopt an example to highlight the utility of our main result.
References
[1] A. Branciari. A fixed point theorem of BanachCaccioppoli type on a class of generalized
metric spaces, Publ. Math., 57, 31-37, (2000).
[2] L. B. Ciri ´ c. ´ A generalization of Banach contraction principle, Proc. Am. Math. Soc., 45,
267273, (1974).
[3] M. Asadi, E. Karapinar and P. Salimi. New extension of p-metric spaces with some fixed-point
results on M-metric spaces, J. Inequal. Appl., 18, (2014).
[4] N. Mlaiki, A. Zarrad, N. Souayah, A. Mukheimer and T. Abdeljawed. Fixed Point Theorems
in Mb-metric spaces, J. Math. Anal., 7, 1-9, (2016).
[5] N. Y. Ozg¨ur, N. Mlaiki, N. Tas and N. Souayah. A new generalization of metric spaces: ¨
rectangular M-metric spaces, Mathematical Sciences, 12, 223-233, (2018).
[6] S. Czerwik. Contraction mappings in b-metric spaces. Acta Mathematica et Informatica Universitatis Ostraviensis, 1(1):5–11, 1993.
[7] R. George, S. Radenovic, K.P. Reshma, and S. Shukla. Rectangula
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