3 citations · 4 across the 8 of their papers we have counts for
9 papers
Nonexpansive Bijections in -Quasi-Metric Spaces and Their -Hyperconvex Hulls
Collins Amburo Agyingi
We study bijective nonexpansive maps in -quasi-metric spaces, distinguishing preservation of directed distances from pointwise rigidity. Our focus is their behaviour under pas…
A Persistent Homology Signature of Knotting
Aurelie Jodelle Kemme, Collins A. Agyingi, Colleen Farrelly +1
We ask whether knotting can be recognised using persistent homology. Starting from a point-cloud representation of a curve, we compute one-dimensional persistent homology, extract…
Persistent Homology: A Pedagogical Introduction with Biological Applications
Aurelie Jodelle Kemme, Collins Amburo Agyingi
Persistent Homology (PH) is a fundamental tool in computational topology, designed to uncover the intrinsic geometric and topological features of data across multiple scales. Origi…
Chatterjea type fixed point in Partial -metric spaces
Yaé Ulrich Gaba, Collins Amburo Agyingi, Domini Jocema Leko
In this paper, we give and prove two Chatterjea type fixed point theorems on partial -metric space. We propose an extension to the Banach contraction principle on partial -me…
Startpoints via weak contractions
Collins Amburo Agyingi, Yaé Ulrich Gaba
Startpoints (resp. endpoints) can be defined as "oriented fixed points". They arise naturally in the study of fixed for multi-valued maps defined on quasi-metric spaces. In this ar…
Weak contractions via -sequences
Collins Amburo Agyingi, Yaé Ulrich Gaba
In this note, we discuss common fixed point for a family of self mapping defined on a metric type space and satisfying a weakly contractive condition. In our development, we make u…
(-order Fixed points in -metric spaces
Yaé Ulrich Gaba, Collins Amburo Agyingi
We establish three major fixed-point theorems for functions satisfying an odd power type contractive condition in G-metric spaces. We first consider the case of a single mapping, f…
-tuple fixed point in -ordered -metric spaces
Yaé Ulrich Gaba, Collins Amburo Agyingi
We use three seminal approaches in the study of fixed point theory, the so called -metrics, multidimensional fixed points and partially ordered spaces. More precisely, we extend…
Common Coupled Fixed Point Theorems for Maps in a -ultra-quasi-metric Space
Collins Amburo Agyingi, Yaé Ulrich Gaba
In this article, we prove the existence of common fixed points for a pair of maps on a -spherically complete -ultra-quasi-metric space. The present article is a generalizat…