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.