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20142026
most citedStartpoints and -Contractions in Quasi-Pseudometric Spaces

19 citations · 27 across the 26 of their papers we have counts for

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15 papers · 1 filter

math.GN2026

On -startpoints and -fixed points in quasi-uniform spaces: a revisit and extensions

Yaé U. Gaba

We extend the $\U$-fixed-point and $\U$-startpoint framework for quasi-uniform spaces. We reformulate the original existence framework through the filter axioms and supply a two-si…

math.GN2025

On Fixed Point Theorems in Bipolar Metric Spaces Involving Polynomial-Type Contractions

Gopinath Janardhanan, Gunaseelan Mani, Nancy Delaila John Kennedy +1

In this paper, we investigate the existence and uniqueness of fixed points for self-mappings defined on bipolar metric spaces using a new class of contractive conditions, namely po…

math.GN2019

Quasi-uniform type spaces

Yaé Ulrich Gaba

In this article, we introduce and investigate the concept of partial quasi-metric type space as a generalization of both partial quasi-metric and quasi-metric type spaces. We show…

math.GN2019

A new characterization of partial metric completeness

Yaé Ulrich Gaba

In this article, we present a new characterization of the completeness of a partial metric space--which we call \textit{orbital characterization}-- using fixed point results.

math.GN2019

Partial quasi-metric completeness via Kannan-type fixed points

Yaé Ulrich Gaba

In this short note, we obtain partial quasi-metric versions of Kannan's fixed point theorem for self-mappings. Moreover, we use these fixed points results to characterize a certain…

math.GN2019

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…

math.GN2018

Fixed point on partial metric type spaces

Yaé Ulrich Gaba

In this paper, we study some new fixed point results for self maps defined on partial metric type spaces. In particular, we give common fixed point theorems in the same setting. So…

math.GN2018

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…

math.GN2018

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…

math.GN2017

-metric structures

Yaé Ulrich Gaba

In this paper, we discuss recent results about generalized metric spaces and fixed point theory. We introduce the notion of -cone metric spaces, give some topological properties…

math.GN2017★ 1 cited

(-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…

math.GN2017

-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…

math.GN2015

-admissible functions in quasi-pseudometric type spaces

Yaé Ulrich Gaba

In this article, we give some fixed point results in left -complete quasi-pseudometric type spaces for self-mappings that are -admissible.

math.GN2014★ 3 cited

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…

math.GN2014

Fixed points for weak contractions in metric type spaces

Yaé Ulrich Gaba

In this article, we prove some fixed point theorems in metric type spaces. This article is just a generalization some results previously proved in \cite{niyi-gaba}. In particular,…