Maria Rosaria Formica, Abdelkarim Kari, "New Fixed Point Theorems in Complete Rectangular M-metric Spaces," WSEAS Transactions on Mathematics, vol. 23, pp. 863-873, 2024, DOI:10.37394/23206.2024.23.89
Maria Rosaria Formica, Abdelkarim Kari. New Fixed Point Theorems in Complete Rectangular M-metric Spaces.
WSEAS Transactions on Mathematics. 2024;23:863-873. 10.37394/23206.2024.23.89
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
New Fixed Point Theorems in Complete Rectangular M-metric Spaces
Authors: ,
Abstract: In this article we extend the Banach contraction principle known in the framework of rectangular metric
spaces (θ-contraction) to the more general rectangular M-metric spaces. We also investigate the existence and
uniqueness of fixed point for mappings satisfying θ-contraction in rectangular M-metric spaces. Moreover, we
provide some examples to highlight the obtained improvements. Finally, as an application, we investigate the
existence and uniqueness of a solution of a non-linear integral equation of Fredholm type.
Pages: 863-873 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #89 DOI: 10.37394/23206.2024.23.89
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