A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations

S Radenović, T Došenović, TA Lampert… - Applied Mathematics and …, 2016 - Elsevier
In this paper we obtain some equivalences between cyclic contractions and non-cyclic
contractions in the framework of b-metric spaces. Our results improve and complement …

[PDF][PDF] On the fixed points of multivalued mappings in b-metric spaces and their application to linear systems

F Lael, N Saleem, M Abbas - UPB Scientific Bulletin, Series A, 2020 - researchgate.net
In this paper, we replied to an open problem related to a b-metric version of Banach's fixed
point theorem. It was addressed with a partial answer by several authors, choosing a …

Some new theorems for cyclic contractions in Gb-metric spaces and some applications

M Liang, C Zhu, C Chen, Z Wu - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, some new theorems for various cyclic contractions are established in G b-
metric spaces to discuss the existence and uniqueness of the solutions for a class of the …

Fundamental Questions and New Counterexamples for b-Metric Spaces and Fatou Property

N Lu, F He, WS Du - Mathematics, 2019 - mdpi.com
In this paper, we give new examples to show that the continuity actually strictly stronger than
the Fatou property in b-metric spaces. We establish a new fixed point theorem for new …

Existence of the Solutions of Nonlinear Fractional Differential Equations Using the Fixed Point Technique in Extended b-Metric Spaces

L Guran, MF Bota - Symmetry, 2021 - mdpi.com
The purpose of this paper is to prove fixed point theorems for cyclic-type operators in
extended b-metric spaces. The well-posedness of the fixed point problem and limit …

Dynamics of Cyclic Contractions

H Baranwal, AKB Chand - arXiv preprint arXiv:2406.15368, 2024 - arxiv.org
Cyclic contractions generalize the usual contractivities in metric spaces and $ b $-MSs. In
this paper, we enhance several fixed point theorems related to cyclic (i) Banach self …

Periodic Solutions of a Class of Second-Order Differential Equation with Time Delays and Variation Coefficients in Complete B-Metric Spaces

R Zhang, S Kang - … on Computer and Information Science (ICIS …, 2023 - ieeexplore.ieee.org
Time-delay differential equations have important applications in physical chemistry,
engineering, information, economy, especially in biological mathematics and many other …

Common coupled fixed points of some generalised T-contractions in rectangular b-metric space and application

R George, KP Reshma - Adv. Fixed Point Theory, 2020 - scik.org
Common coupled fixed point theorems for a pair of generalised T-contraction mappings are
proved in a rectangular b-metric space which generalize and improve some recent results …

[PDF][PDF] Existence of a solution of fractional differential equations using the fixed point technique in extended b-metric spaces

MF Bota, L Guran - AIMS Mathematics, 2022 - aimspress.com
The purpose of the present paper is to prove some fixed point results for cyclic-type
operators in extended b-metric spaces. The considered operators are generalized ϕ …

Fixed point theorems for cyclic contraction on b-metric spaces with wt-distance

M Song, F Azi - Adv. Fixed Point Theory, 2019 - scik.org
FIXED POINT THEOREMS FOR CYCLIC CONTRACTION ON b-METRIC SPACES WITH wt-DISTANCE
1. INTRODUCTION AND PRELIMINARIES Since the conc Page 1 Available online at http://scik.org …