scholarly journals The Schauder fixed-point theorem for connectivity maps

1981 ◽  
Vol 44 (1) ◽  
pp. 59-64
Author(s):  
Jack Girolo
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Schauder Fixed Point Theorem ◽  
Schauder Fixed Point ◽  
Schäuder Fixed Point Theorem

scholarly journals A Schauder fixed point theorem in semilinear spaces and applications

2013 ◽  
Vol 2013 (1) ◽  
pp. 306 ◽  
Author(s):  
Ravi P Agarwal ◽  
Sadia Arshad ◽  
Donal O’Regan ◽  
Vasile Lupulescu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Schauder Fixed Point Theorem ◽  
Schauder Fixed Point ◽  
Schäuder Fixed Point Theorem

The Darboux problem involving the distributional Henstock–Kurzweil integral

2012 ◽  
Vol 55 (1) ◽  
pp. 197-205 ◽  
Author(s):  
Yueping Lu ◽  
Guoju Ye ◽  
Ying Wang ◽  
Wei Liu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Existence Of Solutions ◽  
Schauder Fixed Point Theorem ◽  
Darboux Problem ◽  
Schauder Fixed Point ◽  
Schäuder Fixed Point Theorem

AbstractIn this paper, using the Schauder Fixed Point Theorem and the Vidossich Theorem, we study the existence of solutions and the structure of the set of solutions of the Darboux problem involving the distributional Henstock–Kurzweil integral. The two theorems presented in this paper are extensions of the previous results of Deblasi and Myjak and of Bugajewski and Szufla.

scholarly journals Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mohammad Esmael Samei ◽  
Ahmad Ahmadi ◽  
A. George Maria Selvam ◽  
Jehad Alzabut ◽  
Shahram Rezapour
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Point Theorem ◽  
Schauder Fixed Point Theorem ◽  
Stability Of Solution ◽  
The Stability ◽  
Well Posed ◽  
Schauder Fixed Point ◽  
Schäuder Fixed Point Theorem

AbstractIn this paper, we propose the conditions on which a class of boundary value problems, presented by fractional q-differential equations, is well-posed. First, under the suitable conditions, we will prove the existence and uniqueness of solution by means of the Schauder fixed point theorem. Then, the stability of solution will be discussed under the perturbations of boundary condition, a function existing in the problem, and the fractional order derivative. Examples involving algorithms and illustrated graphs are presented to demonstrate the validity of our theoretical findings.

scholarly journals Approximate controllability of semilinear neutral systems in Hilbert spaces

2003 ◽  
Vol 16 (3) ◽  
pp. 233-242 ◽  
Author(s):  
N. I. Mahmudov ◽  
S. Zorlu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Hilbert Spaces ◽  
Approximate Controllability ◽  
Linear Part ◽  
Schauder Fixed Point Theorem ◽  
Neutral Systems ◽  
Schauder Fixed Point ◽  
Schäuder Fixed Point Theorem

The approximate controllability of semilinear neutral systems in Hilbert spaces is studied using the Schauder fixed point theorem. It is shown that the approximate controllability of the semilinear system under some conditions is implied by the approximate controllability of its linear part.

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