Yaé Ulrich Gaba

Dr. Yaé Ulrich Gaba

Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, Gauteng, South Africa
orcid

Research Focus & Metrics

Academic Career Length

13Years (2014-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

View All Publications
10 October 2019 in Axioms
Verified
Journal Article
Open access
PDF file
Yaé Ulrich GabaYaé Ulrich Gaba
Yaé Ulrich Gaba
Erdal KARAPINARErdal KARAPINAR
Erdal KARAPINAR
We propose a refinement in the interpolative approach in fixed-point theory. In particular, using this method, we prove the existence of fixed points and common fixed points for Kannan-type contractions and provide examples to support our results.

26 February 2021 in Journal of Mathematics
Verified
Journal Article
Open access
PDF file
Yaé Ulrich GabaYaé Ulrich Gaba
Yaé Ulrich Gaba
MAMaggie Aphane
Maggie Aphane
HAHassen Aydi
Hassen Aydi
In this paper, we introduce the concept of α , BK -contractions and prove the existence of fixed points for contravariant mappings on bipolar metric spaces.

27 January 2021 in Journal of Function Spaces
Verified
Journal Article
Open access
Hasanen A. HammadHasanen A. Hammad
Hasanen A. Hammad
HAHassen Aydi
Hassen Aydi
Yaé Ulrich GabaYaé Ulrich Gaba
Yaé Ulrich Gaba
The goal of this paper is to present a new space, a complex valued controlled rectangular b -metric space (for short, υ ℂ -metric space). Some examples and topological properties of υ ℂ -metric spaces are given. Also, some related common fixed point results are discussed. Our results generalize a lot of works in this direction. Moreover, we apply the theoretical results to find a unique solution of a complex valued Atangana-Baleanu fractional integral operator and a system of complex linear equations. Finally, a numerical example to find the current that passes through the RLC circuit is illustrated.

2 July 2014 in Journal of Mathematics
Verified
Journal Article
Open access
PDF file
Yaé Ulrich GabaYaé Ulrich Gaba
Yaé Ulrich Gaba
We introduce the concept ofstartpointandendpointfor multivalued maps defined on a quasi-pseudometric space. We investigate the relation between these new concepts and the existence of fixed points for these set valued maps.

1 November 2017 in Journal of Mathematical Analysis and Applications
Verified
Journal Article
Closed access
Yaé Ulrich GabaYaé Ulrich Gaba
Yaé Ulrich Gaba

12 August 2021 in Abstract and Applied Analysis
Verified
Journal Article
Open access
PDF file
Yaé Ulrich GabaYaé Ulrich Gaba
Yaé Ulrich Gaba
MAMaggie Aphane
Maggie Aphane
VSVizender Sihag
Vizender Sihag
In this article, we propose two Banach-type fixed point theorems on bipolar metric spaces. More specifically, we look at covariant maps between bipolar metric spaces and consider iterates of the map involved. We also propose a generalization of the Banach fixed point result via Caristi-type arguments.