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 …

[PDF][PDF] Ordered b-metric spaces and Geraghty type contractive mappings

SC Chandok, MS Jovanović… - Vojnotehnički glasnik …, 2017 - aseestant.ceon.rs
331 ORDERED B-METRIC SPACES AND GERAGHTY TYPE CONTRACTIVE MAPPINGS
Page 1 331 Cha ndok, SC et al, О rdered b-metric spac e s and Gerag h ty type contractiv e …

Generalized alpha-Meir-Keeler contraction mappings on Branciari b-metric spaces

S Gülyaz, E Karapinar, İ Erhan - Filomat, 2017 - avesis.cumhuriyet.edu.tr
In this paper, alpha-Meir-Keeler and generalized alpha-Meir-Keeler contractions on
Branciari b-metric spaces are introduced. Existence and uniqueness of fixed points of such …

Bhaskar-Guo-Lakshmikantam-Ćirić type results via new functions with applications to integral equations

S Radenović, K Zoto, N Dedović, V Šešum-Cavic… - Applied Mathematics …, 2019 - Elsevier
In this paper, by using the C-class functions, we present some coupled coincidence point
results for a pair of mappings satisfying generalized (ϕ, ψ)-weakly contractive condition in …

m-Convex structure on b-metric spaces

G Amirbostaghi, M Asadi, MR Mardanbeigi - Filomat, 2021 - doiserbia.nb.rs
We apply the concept of a m-convex b-metric space by introducing of m-convex structure on
b-metric spaces. We obtain fixed point theorems in this structure. Recent results are …

On the Impact of Some Fixed Point Theorems on Dynamic Programming and RLC Circuit Models in R-Modular b-Metric-like Spaces

E Girgin, A Büyükkaya, NK Kuru, M Öztürk - Axioms, 2024 - mdpi.com
In this study, we significantly extend the concept of modular metric-like spaces to introduce
the notion of b-metric-like spaces. Furthermore, by incorporating a binary relation R, we …

Existence of common fixed point for 𝑏-metric rational type contraction

M Abbas, IZ Chema, A Razani - Filomat, 2016 - JSTOR
The necessary conditions for existence of a common fixed point of two mappings satisfying
generalized 𝑏-order contractive condition in the setting of a partially ordered 𝑏-complete 𝑏 …

Solution to Integral Equation in an O-Complete Branciari b-Metric Spaces

M Dhanraj, AJ Gnanaprakasam, G Mani, O Ege… - Axioms, 2022 - mdpi.com
In this paper, we prove fixed point theorem via orthogonal Geraghty type α-admissible
contraction map in an orthogonal complete Branciari b-metric spaces context. An example is …

The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions

M Dobriţoiu - Mathematics, 2020 - mdpi.com
Using some of the extended fixed point results for Geraghty contractions in b-metric spaces
given by Faraji, Savić and Radenović and their idea to apply these results to nonlinear …

[PDF][PDF] New fixed point results with αqsp− admissible contractions on b− Branciari metric spaces

ME Samani, SM Vaezpour, M Asadi - Journal of Inequalities and …, 2018 - researchgate.net
In this paper, αqsp-admissible contractions on b-Branciari metric spaces are introduced and
some results on the existence and uniqueness of fixed point associated with these …