Results 61 to 70 of about 5,964,053 (112)

Existence and Characterization of Solutions of Nonlinear Volterra-Stieltjes Integral Equations in Two Variables

Abstract and Applied Analysis, 2014
The paper is devoted mainly to the study of the existence of solutions depending on two variables of a nonlinear integral equation of Volterra-Stieltjes type.
Mohamed Abdalla Darwish, Józef Banaś
doaj   +1 more source

Existence, Uniqueness, and Mittag–Leffler–Ulam Stability Results for Cauchy Problem Involving ψ-Caputo Derivative in Banach and Fréchet Spaces

International Journal of Differential Equations, 2020
Our aim in this paper is to investigate the existence, uniqueness, and Mittag–Leffler–Ulam stability results for a Cauchy problem involving ψ-Caputo fractional derivative with positive constant coefficient in Banach and Fréchet Spaces.
Choukri Derbazi, Zidane Baitiche, Mouffak Benchohra, G. N’Guérékata   +3 more
doaj   +1 more source

A Schauder fixed point theorem in semilinear spaces and applications

, 2013
In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the existence result, we give a variant of the Schauder fixed point theorem in semilinear Banach spaces.peer ...
Vasile Lupulescu, Arshad, Sadia, Ravi P Agarwal, Donal O’Regan, Sadia Arshad, Agarwal, Ravi P, O’Regan, Donal, Lupulescu, Vasile   +7 more
core   +1 more source

Some fixed point theorems for discontinuous mappings [PDF]

This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
core  

On The Relative Controllability Perturbation of Nonlinear Functional Differential Systems with Implicit Derivative.

, 2015
In this paper, we provide sufficient conditions for the relative controllability of perturbation of nonlinear function differential systems with implicit derivative.
Iheagwam, VA
core   +1 more source

BANACH FIXED POINT THEOREM [PDF]

, 2019
Banach fixed point theorem (contraction theorem) is a unique fixed point theorem on a mapping called the contraction of a complete metric space into it self. The space is said to be complete if every Cauchy sequence in converges.
Alsitaningtyas, Yunike Jemis Fifnelavindy
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On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order. [PDF]

Entropy (Basel), 2022
Benkerrouche A, Souid MS, Stamov G, Stamova I.   +3 more
europepmc   +1 more source

Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer

Electronic Journal of Differential Equations, 2006
We give an existence theorem for some functional-integral equations which includes many key integral and functional equations that arise in nonlinear analysis and its applications.
Josefa Caballero, Angelo B. Mingarelli, Kishin Sadarangani   +2 more
doaj  

A Short And Constructive Proof of Tarski's Fixed-Point Theorem [PDF]

I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
core  

Fixed-point-like theorems on subspaces [PDF]

, 2004
We prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems: the fixed-point-like theorem by Hirsch et al.
Bernard Cornet, Philippe Bich, Cornet, Bernard, Bich, Philippe   +3 more
core   +1 more source