Interpolative Contractive Results for $m$-Metric Spaces

Year 2023, , 336 - 347, 23.07.2023

Safeer Khan , Ali Raza

https://doi.org/10.31197/atnaa.1220114

Cited By: 1

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

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