Wyniki wyszukiwania - Biblioteka Nauki

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Darbo fixed point theorem

Sortuj według:

Ogranicz wyniki do:

On some qualitative properties of integrable solutions for Cauchy-type problem of fractional order

100%

Metwali M. M. A.

Journal of Mathematics and Applications

2017

tom Vol. 40

121--p134

The paper discusses the existence of solutions for Cauchy-type problem of fractional order in the space of Lebesgue integrable functions on bounded interval. Some qualitative properties of solutions are presented such as monotonicity, uniqueness and continuous dependence on the initial data. The main tools used are measure of weak (strong) noncompactness, Darbo fixed point theorem and fractional calculus.

Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation

100%

Rehman H. u. , Gopal D. , Kumam P.

Demonstratio Mathematica

2019

tom Vol. 52, nr 1

166--182

In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach space. To acquire this result, we define α-ψ and β-ψ con-densing operators and using them we propose new fixed point results. Our results generalize and extendsome comparable results from the literature. Additionally, as an application, we apply the obtained fixedpoint theorems to study the nonlinear functional integral equations.

On perturbed quadratic integral equations and initial value problem with nonlocal conditions in Orlicz spaces

100%

Metwali M. M. A.

2020

tom Vol. 53, nr 1

86--94

The existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces. We utilize the strategy of measure of noncompactness related to the Darbo fixed point principle. As an application, we discuss the presence of solution of the initial value problem with nonlocal conditions.