Results 11 to 20 of about 775 (171)

On the Schauder fixed point theorem [PDF]

open access: yesBanach Center Publications, 1996
The paper contains a survey of various results concerning the Schauder Fixed Point Theorem for metric spaces both in single-valued and multi-valued cases. A number of open problems is formulated.
Danuta Rozpłoch-Nowakowska   +1 more
openaire   +1 more source

On fixed point theorems of Leray–Schauder type [PDF]

open access: yesProceedings of the American Mathematical Society, 2007
In this paper we prove a few fixed points theorems of Leray–Schauder type in hyperconvex metric spaces.
Borkowski, Marcin, Bugajewski, Dariusz
openaire   +1 more source

On the Asymptotic Integration of Nonlinear Dynamic Equations

open access: yesAdvances in Difference Equations, 2008
The purpose of this paper is to study the existence and asymptotic behavior of solutions to a class of second-order nonlinear dynamic equations on unbounded time scales.
Toufik Moussaoui   +3 more
doaj   +2 more sources

Schauder’s fixed-point theorem in approximate controllability problems [PDF]

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2016
Abstract The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder’s fixed-point ...
Artur Babiarz   +2 more
openaire   +3 more sources

Recent Existence Results for Second-Order Singular Periodic Differential Equations

open access: yesBoundary Value Problems, 2009
We present some recent existence results for second-order singular periodic differential equations. A nonlinear alternative principle of Leray-Schauder type, a well-known fixed point theorem in cones, and Schauder's fixed point theorem are used in ...
Juan J. Nieto, Jifeng Chu
doaj   +2 more sources

Leray–Schauder Fixed Point Theorems for Block Operator Matrix with an Application [PDF]

open access: yesJournal of Mathematics, 2021
In this paper, we establish some new variants of Leray–Schauder-type fixed point theorems for a 2 × 2 block operator matrix defined on nonempty, closed, and convex subsets
Mohamed Amine Farid   +2 more
openaire   +2 more sources

On a sharpened form of the Schauder fixed-point theorem [PDF]

open access: yesProceedings of the National Academy of Sciences, 1977
If K is a compact convex subset of a locally convex topological vector space X , we consider a continuous mapping f of K into X .
openaire   +3 more sources

A Schauder fixed point theorem in semilinear spaces and applications [PDF]

open access: yesFixed Point Theory and Applications, 2013
Abstract 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. MSC:34A07, 34A08.
Agarwal, Ravi P   +3 more
openaire   +1 more source

Nonlinear Fractional q-Difference Equation with Fractional Hadamard and Quantum Integral Nonlocal Conditions

open access: yesJournal of Function Spaces, 2020
In this paper, we establish existence and uniqueness results for a boundary value problem consisting by a nonlinear fractional q-difference equation subject to a new type of boundary condition, combining the fractional Hadamard and quantum integrals. Our
Athasit Wongcharoen   +3 more
doaj   +1 more source

The existence analysis of solutions for initial value problems of nonlinear conformable fractional delayed differential equations

open access: yes上海师范大学学报. 自然科学版, 2021
In this paper, we establish several existence and uniqueness results of solutions for initial value problems of nonlinear fractional delayed differential equations in the sense of conformable fractional derivative.
WANG Sen, JIANG Wei
doaj   +1 more source

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