Some generalizations of Darbo fixed point theorem and applications
From MaRDI portal
Publication:2376836
zbMath1290.47053MaRDI QIDQ2376836
Navid Sabzali, Asadollah Aghajani, Józef Banaś
Publication date: 24 June 2013
Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.bbms/1369316549
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
Related Items (91)
Solvability of initial value problems with fractional order differential equations in Banach spaces by \(\alpha\)-dense curves ⋮ An extension of Darbo's fixed point theorem for a class of system of nonlinear integral equations ⋮ Some existence theorems for systems of equations involving condensing operators and applications ⋮ The existence of fixed points via the measure of noncompactness and its application to functional-integral equations ⋮ Existence of mild solutions for Sobolev-type Hilfer fractional evolution equations with boundary conditions ⋮ Solvability of a fractional Cauchy problem based on modified fixed point results of non-compactness measures ⋮ On a measure of noncompactness in the Holder space \(C^{k, \gamma}(\varOmega)\) and its application ⋮ New generalizations of Darbo's fixed point theorem ⋮ Application of measures of noncompactness to the infinite system of second-order differential equations in \(\ell_{p}\) spaces ⋮ Existence of solutions of infinite systems of integral equations in two variables via measure of noncompactness ⋮ Coupled measure of noncompactness and functional integral equations ⋮ Existence of solutions for impulsive fractional integrodifferential equations with mixed boundary conditions ⋮ Sadovskii type best proximity point (pair) theorems with an application to fractional differential equations ⋮ Existence solution of a system of differential equations using generalized Darbo's fixed point theorem ⋮ The measure of noncompactness in a generalized coupled fixed point theorem and its application to an integro-differential system ⋮ Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it ⋮ Construction of a measure of noncompactness on \(BC(\Omega)\) and its application to Volterra integral equations ⋮ On the attractivity of solutions for a class of multi-term fractional functional differential equations ⋮ New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application ⋮ Existence of solutions for a class of system of functional integral equation via measure of noncompactness ⋮ Solvability of functional integral equations in the Fréchet space \(C(\Omega)\) ⋮ Analytical approaches on the attractivity of solutions for multiterm fractional functional evolution equations ⋮ Existence of mild solutions for Sobolev-type Hilfer fractional nonautonomous evolution equations with delay ⋮ Study on the mild solution of Sobolev type Hilfer fractional evolution equations with boundary conditions ⋮ Application measure of noncompactness and operator type contraction for solvability of an infinite system of differential equations in lp-space ⋮ Existence of solution of functional Volterra-Fredholm integral equations in space \(L^\infty(\mathbb{R}_+)\) and sinc interpolation to find solution ⋮ Positive solutions of fractional integral equations by the technique of measure of noncompactness ⋮ Darbo type fixed and coupled fixed point results and its application to integral equation ⋮ The solvability of a class of system of nonlinear integral equations via measure of noncompactness ⋮ Asymptotic behavior of solutions for systems of quadratic integral equations of Fredholm type ⋮ Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay ⋮ \(F(\psi,\varphi)\)-contraction in terms of measure of noncompactness with application for nonlinear integral equations ⋮ Existence of local fractional integral equation via a measure of non-compactness with monotone property on Banach spaces ⋮ Hybrid fixed point theorems with application to fractional evolution equations ⋮ Monotone solutions of iterative fractional equations found by modified Darbo-type fixed-point theorems ⋮ Fixed-point theorems for Meir-Keeler multivalued maps and application ⋮ Study a class of nonlinear fractional non-autonomous evolution equations with delay ⋮ Mixed fractional differential equation with nonlocal conditions in Banach spaces ⋮ Existence and asymptotic stability of solutions of a functional integral equation via a consequence of Sadovskii's theorem ⋮ On the constrained and unconstrained controllability of semilinear Hilfer fractional systems ⋮ Applications of a fixed point theorem to the existence of solutions to the nonlinear functional integral equations in two variables ⋮ A comment on: ``Attractivity for functional Volterra integral equations of convolution type ⋮ On the solution of generalized proportional Hadamard fractional integral equations ⋮ Generalizations of Darbo's fixed point theorem via simulation functions with application to functional integral equations ⋮ A result on solvability of some fractional integro-differential equations in abstract spaces ⋮ Study on the integro-differential equations on \(C^1(\mathbb{R}_+)\) ⋮ Some fixed point theorems and applications in Busemann spaces ⋮ Fixed point theory for \(F\)-set-contraction multimaps and application to a system of integral inclusions ⋮ New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations ⋮ Common fixed point theorems for two and three mappings ⋮ Extension of some theorems to find solution of nonlinear integral equation and homotopy perturbation method to solve it ⋮ Ulam-Hyers-Rassias stability of neutral functional integrodifferential evolution equations with non-instantaneous impulses on an unbounded interval ⋮ Solvability of fractional dynamic systems utilizing measure of noncompactness ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Positive Solution of a Quadratic Integral Equation Using Generalization of Darbo’s Fixed Point Theorem ⋮ Unnamed Item ⋮ Existence results for a coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions ⋮ An extension of Darbo's theorem and its application ⋮ About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation ⋮ Unnamed Item ⋮ A measure of non-compactness on T3½ spaces based on Arzelà-Ascoli type theorem ⋮ An extension of Sadovskii's fixed-point theorem with applications to integral equations ⋮ Fixed point theorems for Meir-Keeler condensing nonself-mappings with an application ⋮ Study on Sobolev type Hilfer fractional integro-differential equations with delay ⋮ The behaviour of measures of noncompactness in \(L^\infty (\mathbb {R}^n)\) with application to the solvability of functional integral equations ⋮ A generalization of Darbo's fixed point theorem with an application to fractional integral equations ⋮ Optimum solutions for a system of differential equations via measure of noncompactness ⋮ Differential equations in classical sequence spaces ⋮ Generalizations of Darbo's fixed point theorem for new condensing operators with application to a functional integral equation ⋮ Existence, uniqueness, and Mittag-Leffler-Ulam stability results for Cauchy problem involving \(\psi \)-Caputo derivative in Banach and Fréchet spaces ⋮ Existence of solutions to nonlinear functional-integral equations via the measure of noncompactness ⋮ Generalizations of Darbo's fixed point theorem and solvability of integral and differential systems ⋮ Applications of measure of noncompactness and operator type contraction for existence of solution of functional integral equations ⋮ Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution ⋮ An extension of Darbo’s theorem and its application to existence of solution for a system of integral equations ⋮ A NONLINEAR F-CONTRACTION FORM OF SADOVSKII'S FIXED POINT THEOREM AND ITS APPLICATION TO A FUNCTIONAL INTEGRAL EQUATION OF VOLTERRA TYPE ⋮ Attractivity for functional Volterra integral equations of convolution type ⋮ ANALYTICAL RESULTS FOR QUADRATIC INTEGRAL EQUATIONS WITH PHASE-CLAG TERM ⋮ Application of fixed point theorem to solvability of functional stochastic integral equations ⋮ Tripled fixed point results via a measure of noncompactness with applications ⋮ THE METHOD OF LOWER AND UPPER SOLUTIONS FOR IMPULSIVE FRACTIONAL EVOLUTION EQUATIONS IN BANACH SPACES ⋮ Existence results for Hilfer fractional evolution equations with boundary conditions ⋮ Solvability and uniform local attractivity for a Volterra equation of convolution type ⋮ Local Fractional Calculus to Design the Growth System of Covid-19 Using Measure of Non-compactness ⋮ Unnamed Item ⋮ Applications of measure of non-compactness and modified simulation function for solvability of nonlinear functional integral equations ⋮ An extension of Darbo’s theorem via measure of non-compactness with its application in the solvability of a system of integral equations ⋮ New classes of condensing operators and application to solvability of singular integral equations ⋮ Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces ⋮ Existence of solutions for infinite systems of differential equations by densifiability techniques
This page was built for publication: Some generalizations of Darbo fixed point theorem and applications
