Infinite Geraghty type extensions and their applications on integral equations

DOI10.1186/s13662-021-03583-7zbMath1494.54042OpenAlexW3205587759MaRDI QIDQ2167228

R. Bardhan, Liliana Guran, Hassen Aydi, Cenap Ozel, Chun-Gil Park

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03583-7

zbMATH Keywords

contraction fixed point complete metric space infinite dimension Geraghty theorem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Abstract integral equations, integral equations in abstract spaces (45N05)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
$\alpha$-$\psi$-Geraghty contractions on generalized metric spaces
Fixed point theorems for $\alpha$-Geraghty contraction type maps in metric spaces
Some integral type common fixed point theorems satisfying $\phi$-contractive conditions
Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces
$F(\psi,\varphi)$-contraction in terms of measure of noncompactness with application for nonlinear integral equations
$(\alpha, \psi)$-Meir-Keeler contraction mappings in generalized $b$-metric spaces
A short note on the common fixed points of the Geraghty contraction of type $E_{S,T}$
Existence and uniqueness results for two-term nonlinear fractional differential equations via a fixed point technique
On orthogonal partial $b$-metric spaces with an application
On generalized $\alpha$-$\psi$-Geraghty contractions on $b$-metric spaces
A note on `$\psi$-Geraghty type contractions'
On generalized rational $\alpha$-Geraghty contraction mappings in $G$-metric spaces
Fixed point results via a Hausdorff controlled type metric
A new extension to the controlled metric type spaces endowed with a graph
Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann-Liouville fractional integrals, and Atangana-Baleanu integral operators
On best proximity point results for some type of mappings
Exciting fixed point results on a novel space with supportive applications
New generalizations of set valued interpolative Hardy-Rogers type contractions in $b$-metric spaces
On positive solutions for a fractional thermostat model with a convex-concave source term via $\psi $-Caputo fractional derivative
Solution of multi-dimensional Fredholm equations using Legendre scaling functions
Generalized $\alpha$-$\psi$-contractive type mappings of integral type and related fixed point theorems
A new approach to the generalization of Darbo's fixed point problem by using simulation functions with application to integral equations
On the extended multivalued Geraghty type contractions
A discussion on "α-ψ-Geraghty contraction type mappings"
On admissible hybrid Geraghty contractions
GERAGHTY EXTENSION TO k-DIMENSION
A Fixed Point Theorem
Some Results on Fixed Points--II
On Contractive Mappings

This page was built for publication: Infinite Geraghty type extensions and their applications on integral equations