Interpolative Contractive Results for $m$-Metric Spaces
- 23 July 2023
- journal article
- Published by Erdal Karapinar in Advances in the Theory of Nonlinear Analysis and its Application
- Vol. 7 (2), 336-347
- https://doi.org/10.31197/atnaa.1220114
Abstract
In this paper, we initiate the study of fixed points for interpolative mappings in $m$-metric spaces. We discuss three different cases: the sum of \textquotedblleft interpolative exponents" is less than, equal to or greater than 1. We support each of our result by examples in $m$% -metric spaces. In the last section, we obtain our results in $p$-metric spaces. Finally we note that our results generalize results of \cite{EY}, \cite{GH} and \cite{K} from ordinary metric to $m$- and $p$-metrics.Keywords
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