A new type of contraction via measure of non-compactness with an application to Volterra integral equation
نویسندگان
چکیده
Darbo fixed point theorem is a powerful tool which used in many fields mathematics. Because of this feature, generalizations and its relations with other subjects have been investigated. Here we introduce generalization an F - contraction type mapping define new by using both function lasses uniformly convergent sequences functions examine some properties. Afterward, show that the contraction, all F-Darbo has more general results than already studied literature. Furthermore, explain interesting example. Finally, give application to solve Volterra-type integral equation contraction.
منابع مشابه
a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot
abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...
15 صفحه اولNew operators through measure of non-compactness
In this article, we use two concepts, measure of non-compactness and Meir-Keeler condensing operators. The measure of non-compactness has been applied for existence of solution nonlinear integral equations, ordinary differential equations and system of differential equations in the case of finite and infinite dimensions by some authors. Also Meir-Keeler condensing operators are shown in some pa...
متن کاملNumerical solution of a type of weakly singular nonlinear Volterra integral equation by Tau Method
In this paper, a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{beta}(t-s)^{-alpha}G(y(s))$ based on the Tau method. In this method, a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution. Error analysis of this method is also ...
متن کاملHyers–Ulam–Rassias stability of impulsive Volterra integral equation via a fixed point approach
In this paper, we establish the Hyers--Ulam--Rassias stability and the Hyers--Ulam stability of impulsive Volterra integral equation by using a fixed point method.
متن کاملHyers-Ulam stability of Volterra integral equation
We will apply the successive approximation method forproving the Hyers--Ulam stability of a linear integral equation ofthe second kind.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publications De L'institut Mathematique
سال: 2022
ISSN: ['0350-1302', '1820-7405']
DOI: https://doi.org/10.2298/pim2225111k