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 …

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 …

A common fixed point theorem of Fisher in b-metric spaces

N Hussain, ZD Mitrović, S Radenović - Revista de la Real Academia de …, 2019 - Springer
In this paper we have given a proof for Fisher contraction principle in b-metric spaces with
increased range of the Lipschitzian constants and without continuity of the b-metric function …

A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces

E Karapınar, F Khojasteh, ZD Mitrović - Mathematics, 2019 - mdpi.com
A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces Page 1
mathematics Article A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric …

New fixed-circle results related to Fc-contractive and Fc-expanding mappings on metric spaces

N Mlaiki, N Ozgur, N Tas - arXiv preprint arXiv:2101.10770, 2021 - arxiv.org
The fixed-circle problem is a recent problem about the study of geometric properties of the
fixed point set of a self-mapping on metric (resp. generalized metric) spaces. The fixed-disc …

New Versions of Some Results on Fixed Points in b-Metric Spaces

ZD Mitrović, A Bodaghi, A Aloqaily, N Mlaiki, R George - Mathematics, 2023 - mdpi.com
The main and the most important objective of this paper is to nominate some new versions of
several well-known results about fixed-point theorems such as Caristi's theorem, Pant et al.'s …

A fixed point theorem of Jungck in -metric spaces

S Aleksić, ZD Mitrović, S Radenović - Periodica Mathematica Hungarica, 2018 - Springer
A fixed point theorem of Jungck in $$b_v(s)$$ -metric spaces | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …

On the fixed circle problem on metric spaces and related results

N Mlaiki, N Özgür, N Taş, D Santina - Axioms, 2023 - mdpi.com
The fixed-circle issue is a geometric technique that is connected to the study of geometric
characteristics of certain points, and that are fixed by the self-mapping of either the metric …

On the Meir–Keeler theorem in quasi-metric spaces

M Rachid, ZD Mitrović, V Parvaneh… - Journal of Fixed Point …, 2021 - Springer
The main purpose of this paper is to show that the Meir–Keeler contraction principle, as well
as some of its generalizations, is, in general, not true in quasi-metric spaces. After that, we …

[PDF][PDF] On results of Hardy-Rogers and Reich in cone b-metric space over Banach algebra and applications

ZD Mitrovic, N Hussain - UPB Sci. Bull. Ser. A, 2019 - scientificbulletin.upb.ro
In this paper, we establish certain recent results of Miculescu and Mihail [J. Fixed Point
Theory Appl. 19, 2153-2163 (2017)] and of Suzuki [J. Inequal. Appl. 2017, 256, 11 p.] in …