- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 2
- Interpolative Contractive Results for $m$-Metric Spaces
Interpolative Contractive Results for $m$-Metric Spaces
Authors : Safeer Khan, Ali Raza
Pages : 336-347
Doi:10.31197/atnaa.1220114
View : 41 | Download : 94
Publication Date : 2023-07-23
Article Type : Research Article
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 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 [3], [4] and [5] from ordinary metric to m- and p-metrics.Keywords : $m$-metric, $p$-metric, Fixed point, Interpolative contractions., $m$-metric, $p$-metric, Fixed point, Interpolative contractions