Fixed Point Theorems for Geraghty Contraction Type Mappings in b-Metric Spaces and Applications

H Faraji, D Savić, S Radenović - Axioms, 2019 - mdpi.com
In this paper, some new results are given on fixed and common fixed points of Geraghty type
contractive mappings defined in b-complete b-metric spaces. Moreover, two examples are …

Some fixed point results of generalized -contractive mappings in ordered b-metric spaces

B Mitiku, K Karusala, SR Namana - BMC Research Notes, 2020 - Springer
Objectives The aim of this paper is to establish some fixed point, coincidence point and,
coupled coincidence and coupled common fixed point results for generalized (ϕ, ψ)(ϕ, ψ) …

Nemytzki‐Edelstein‐Meir‐Keeler Type Results in b‐Metric Spaces

H Aydi, R Banković, I Mitrović… - Discrete Dynamics in …, 2018 - Wiley Online Library
We consider some Nemytzki‐Edelstein‐Meir‐Keeler type results in the context of b‐metric
spaces. In some cases, we assume that the b‐metric is continuous. Our results generalize …

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 …

Fixed-Points of Interpolative Ćirić-Reich–Rus-Type Contractions in b-Metric Spaces

P Debnath, M de La Sen - Symmetry, 2019 - mdpi.com
The concept of symmetry is inherent in the study of metric spaces due to the presence of the
symmetric property of the metric. Significant results, such as with the Borsuk–Ulam theorem …

Set-valued Meir–Keeler, Geraghty and Edelstein type fixed point results in b-metric spaces

P Debnath - Rendiconti del Circolo Matematico di Palermo Series 2, 2021 - Springer
In the current paper, some new set-valued Meir–Keeler, Geraghty and Edelstein type fixed
point theorems are presented in ab-metric space. Some new contractive conditions are …

On some new Jungck–Fisher–Wardowski type fixed point results

J Vujaković, E Ljajko, S Radojević, S Radenović - Symmetry, 2020 - mdpi.com
Many authors used the concept of F− contraction introduced by Wardowski in 2012 in order
to define and prove new results on fixed points in complete metric spaces. In some later …

Results on fixed points in b-metric space by altering distance functions

NS Rao, A Aloqaily, N Mlaiki - Heliyon, 2024 - cell.com
We discuss the existence of a fixed point for a self mapping and its uniqueness
satisfying\(ϕ˙, η˙\)-generalized contractive condition including altering distance functions of …

On surrounding quasi-contractions on non-triangular metric spaces

E Karapinar, F Khojasteh, ZD Mitrović… - Open …, 2020 - degruyter.com
The aim of this paper is to establish some fixed point results for surrounding quasi-
contractions in non-triangular metric spaces. Also, we prove the Banach principle of …

Fixed point theory in b-metric spaces

N Van Dung, W Sintunavarat - Metric Structures and Fixed Point …, 2021 - taylorfrancis.com
In 1993, Czerwik [27] introduced the notion of a b-metric with a coefficient 2. This notion was
generalized later with a coefficient κ≥ 1 in [28]. In 2010 Khamsi and Hussain [58] …