Generalizations of Darbo's fixed point theorem for new condensing operators with application to a functional integral equation
DOI10.1515/dema-2019-0012zbMath1477.47040OpenAlexW2923928938WikidataQ128169124 ScholiaQ128169124MaRDI QIDQ1999611
Habib ur Rehman, Dhananjay Gopal, Poom Kumam
Publication date: 27 June 2019
Published in: Demonstratio Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/dema-2019-0012
fixed pointmeasure of noncompactnessDarbo fixed point theoremcoupled fixed pointfunctional integral equation
Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
Related Items (9)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New generalizations of Darbo's fixed point theorem
- Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
- Existence of nondecreasing positive solutions for a system of singular integral equations
- Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness
- Measures of noncompactness in the study of asymptotically stable and ultimately nondecreasing solutions of integral equations
- Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
- Measures of noncompactness in metric fixed point theory
- An application of a measure of noncompactness in the study of asymptotic stability
- Solvability of the infinite system of integral equations in two variables in the sequence spaces \(c_0\) and \(\ell_1\)
- Some generalizations of Darbo fixed point theorem and applications
- Fixed point theorems in partially ordered metric spaces and applications
- Fixed-point theorems for families of contraction mappings
- Nonexpansive mappings and fixed-points in Banach spaces
- Punti uniti in trasformazioni a codominio non compatto
- EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT
- An Extension of Banach's Contraction Principle
- On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
- Local asymptotic stability for nonlinear quadratic functional integral equations
- Applications of measures of weak noncompactness and some classes of operators in the theory of functional equations in the lebesgue space
- Some generalizations of Darbo fixed point theorem and its application
- Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
- Existence and global attractivity of solutions of a nonlinear functional integral equation
This page was built for publication: Generalizations of Darbo's fixed point theorem for new condensing operators with application to a functional integral equation