Extension of Darbo’s fixed point theorem via shifting distance functions and its application

DOI10.15388/namc.2022.27.25203zbMath1497.47124OpenAlexW4205594736MaRDI QIDQ5080374

Anupam Das, Hemant Kumar Nashine

Publication date: 31 May 2022

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/namc.2022.27.25203

zbMATH Keywords

measure of noncompactnessfixed point theoremfractional integral equations

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (1)

Modified version of fixed point theorems and their applications on a fractional hybrid differential equation in the space of continuous tempered functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Applications of measures of noncompactness to the infinite system of differential equations in \(\ell_p\) spaces
• On solution of functional integral equation of fractional order
• A note on Hadamard fractional differential equations with varying coefficients and their applications in probability
• Darbo type fixed and coupled fixed point results and its application to integral equation
• Application of measure of noncompactness for solvability of the infinite system of integral equations in two variables in \(\ell _{p} \) \((1<p< \infty)\)
• Solvability of generalized fractional order integral equations via measures of noncompactness
• Measure of noncompactness of a new space of tempered sequences and its application on fractional differential equations
• Solvability of functional-integral equations (fractional order) using measure of noncompactness
• Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings
• Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability
• Existence and uniqueness of mild solutions for a fractional differential equation under Sturm-Liouville boundary conditions when the data function is of Lipschitzian type
• Existence results for nonlinear coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type
• Existence of solution for two dimensional nonlinear fractional integral equation by measure of noncompactness and iterative algorithm to solve it
• Positive solutions of fractional integral equations by the technique of measure of noncompactness
• Punti uniti in trasformazioni a codominio non compatto
• Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness
• On a quadratic integral equation with supremum involving Erdélyi-Kober fractional order
• Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
• Solvability of infinite systems of fractional differential equations in the spaces of tempered sequences

This page was built for publication: Extension of Darbo’s fixed point theorem via shifting distance functions and its application