- Advances in the Theory of Nonlinear Analysis and its Application
- Volume: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 : 39 | Download : 95
Publication Date : 2023-07-23
Article Type : Research Paper
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