Computation and convergence of fixed points in graphical spaces with an application to elastic beam deformations

M Younis, H Ahmad, L Chen, M Han - Journal of Geometry and Physics, 2023 - Elsevier
This paper aims to discuss the convergence behavior of fixed points for graphical B c-
Kannan-contractions using numerical iterations within the structure of graphical extended b …

A unique approach to graph-based metric spaces with an application to rocket ascension

M Younis, D Bahuguna - Computational and Applied Mathematics, 2023 - Springer
This article introduces the notion of controlled graphical metric type spaces, which integrates
the concepts of controlled metric type spaces, extended metric type spaces, b-metric type …

Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar

M Younis, D Singh, I Altun, V Chauhan - International Journal of …, 2022 - degruyter.com
The purpose of this article is to present the notion of graphical extended b-metric spaces,
blending the concepts of graph theory and metric fixed point theory. We discuss the structure …

A novel approach of graphical rectangular b-metric spaces with an application to the vibrations of a vertical heavy hanging cable

M Younis, D Singh, A Goyal - Journal of Fixed Point Theory and …, 2019 - Springer
In the present article, first, we introduce the notation of graphical rectangular b-metric spaces
and scrutinize some basic and topological properties of the underlying spaces. Some …

On the existence of the solution of Hammerstein integral equations and fractional differential equations

M Younis, D Singh - Journal of Applied Mathematics and Computing, 2022 - Springer
Nonlinear integral equations (particularly Hammerstein integral equations) and fractional
differential equations have been the center of extensive research for various scientists …

Recent developments in fixed point theory: theoretical foundations and real-world applications

M Younis, L Chen, D Singh - Recent Developments in Fixed-Point Theory, 2024 - Springer
This contributed book has a comprehensive collection of 18 carefully curated chapters that
delve into the latest advancements in fixed-point theory and its diverse applications. It …

Results on contractions of Reich type in graphical b-metric spaces with applications

M Younis, D Singh, M Asadi, V Joshi - Filomat, 2019 - doiserbia.nb.rs
The main purpose of this article is to present some results concerning Reich type
contractions in the graph structure in the framework of recently introduced graphical b-metric …

Enhancing automic and optimal control systems through graphical structures

SK Panda, I Khan, V Velusamy, S Niazai - Scientific Reports, 2024 - nature.com
The concept of graphical structures of extended suprametric space is introduced in this study
and applied to supra-graphical contractive mapping. A recursive algorithm in connection …

Applications of Graph Kannan Mappings to the Damped Spring‐Mass System and Deformation of an Elastic Beam

M Younis, D Singh, A Petruşel - Discrete Dynamics in Nature …, 2019 - Wiley Online Library
The purpose of this article is twofold. Firstly, combining concepts of graph theory and of fixed
point theory, we will present a fixed point result for Kannan type mappings, in the framework …

[HTML][HTML] Computational fixed points in graphical rectangular metric spaces with application

P Baradol, D Gopal, S Radenović - Journal of Computational and Applied …, 2020 - Elsevier
In this manuscript, we initiated to study a notion of graphical rectangular metric space and
established some fixed point theorems in the aforesaid space. We also discuss the structure …