The early developments in fixed point theory on b-metric spaces

V Berinde, M Păcurar - Carpathian Journal of Mathematics, 2022 - JSTOR
A very impressive research work has been devoted in the last two decades to obtaining fixed
point theorems in quasimetric spaces (also called b-metric spaces). Some incorrect and …

Solution of fractional differential equations via -Geraghty type mappings

H Afshari, S Kalantari, D Baleanu - Advances in Difference Equations, 2018 - Springer
Solution of fractional differential equations via $\alpha-\psi$ -Geraghty type mappings |
Advances in Continuous and Discrete Models Skip to main content SpringerLink Account …

Common fixed point results on an extended b-metric space

B Alqahtani, A Fulga, E Karapınar - Journal of Inequalities and …, 2018 - Springer
Common fixed point results on an extended b-metric space | Journal of Inequalities and
Applications Skip to main content SpringerLink Account Menu Find a journal Publish with us …

On Istrăţescu Type Contractions in b-Metric Spaces

E Karapınar, A Fulga, A Petruşel - Mathematics, 2020 - mdpi.com
In this paper, we introduce the notions of α-almost Istrăt̨escu contraction of type E and of
type E∗ in the setting of b-metric space. The existence of fixed points for such mappings is …

Results in wt-Distance over b-Metric Spaces

E Karapınar, C Chifu - Mathematics, 2020 - mdpi.com
In this manuscript, we introduce Meir-Keeler type contractions and Geraghty type
contractions in the setting of the wt-distances over b-metric spaces. We examine the …

[PDF][PDF] Nonunique fixed point theorems on b-metric spaces via simulation functions

H Aydi, E Karapinar, V Rakocevic - Jordan J. Math. Stat, 2019 - journals.yu.edu.jo
Based on the concepts of α-orbital admissibility given by Popescu in [29] and simulation
functions introduced by Khojasteh in [25], we introduce in this paper different types of …

A solution of the fractional differential equations in the setting of b-metric space

H Afshari, E Karapınar - 2021 - earsiv.cankaya.edu.tr
In this paper, we study the existence of solutions for the following differential equations by
using a fixed point theorems (formula presented) where Dμ, Dν is the Caputo derivative of …

[PDF][PDF] A bilateral contraction via simulation function

O Alqahtani, E Karapınar - Filomat, 2019 - doiserbia.nb.rs
In this paper we introduce the notion of a bilateral contraction that combine the ideas of Ćirić
type contraction and Caristi type contraction with a help of simulation functions. We …

Fixed Points of Generalized F‐Suzuki Type Contraction in Complete b‐Metric Spaces

HH Alsulami, E Karapınar, H Piri - Discrete Dynamics in Nature …, 2015 - Wiley Online Library
Fixed Points of Generalized F‐Suzuki Type Contraction in Complete b‐Metric Spaces Page 1
Research Article Fixed Points of Generalized 𝐹-Suzuki Type Contraction in Complete 𝑏-Metric …

Admissible hybrid Z-contractions in b-metric spaces

IC Chifu, E Karapınar - Axioms, 2019 - mdpi.com
In this manuscript, we introduce a new notion, admissible hybrid Z-contraction that unifies
several nonlinear and linear contractions in the set-up of ab-metric space. In our main …