arXiv subjects

Clement Boateng Ampadu

Publications and source records attributed to Clement Boateng Ampadu.

2 recordsLinked to original sources

arXiv2026

Path Averaged Polynomial Contractions: A New Generalization of Polynomial Contractions, Path-Averaged Contractions, and Banach Contractions

The notion of polynomial contraction appeared in [2], whilst the notion of path-averaged contraction appeared in [3] for metric spaces, in [4,5] for b-metric spaces, , and in [6] for suprametric spaces. In this paper, we combine both notions to introduce path-averaged polynomial contractions, as a generaliation of polynomial contractions, path-averaged contractions, and Banach contractions.We obtain a fixed point theorem for such contractions in the setting of metric spaces.We give an example showing path-averaged polynomial contractions are not Banach contractions

math.GM↗

arXiv2026

Derivative Type Mapping Theorem for the Interpolative Berinde Weak Contraction in Metric Spaces with Application

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

math.GM↗