Derivative Type Mapping Theorem for the Interpolative Berinde Weak Contraction in Metric Spaces with Application
General Mathematics
2026-04-17 v1
Abstract
Olatinwo [3] introduced contractive definitions of the derivative type, and gave a new characterization of the Banach contraction principle, and fixed point theorems for contractions defined implicitly. On the other hand Ampadu et.al [4] introduced derivative type contractions in the setting of multiplicative metric spaces. In this paper, we have obtained a fixed point theorem of the derivative type for interpolative Berinde weak contractive mappings [2] in the setting of metric spaces. An examples is given to illustrate the main result of the paper. Finally, we apply our result to the Fredholm integral equation
Cite
@article{arxiv.2604.14157,
title = {Derivative Type Mapping Theorem for the Interpolative Berinde Weak Contraction in Metric Spaces with Application},
author = {Clement Boateng Ampadu},
journal= {arXiv preprint arXiv:2604.14157},
year = {2026}
}