Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii's Fixed Point Theorem
نویسندگان
چکیده
منابع مشابه
Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem
In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.
متن کاملSome generalizations of Darbo's theorem for solving a systems of functional-integral equations via measure of noncompactness
In this paper, using the concept of measure of noncompactness, which is a very useful and powerful tools in nonlinear functional analysis, metric fixed point theory and integral equations, we introduce a new contraction on a Banach space. For this purpose by using of a measure of noncompactness on a finite product space, we obtain some generalizations of Darbo’s fixed-point theorem. Then, with ...
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 کاملA strong convergence theorem for solutions of zero point problems and fixed point problems
Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated. A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces.
متن کاملRandom fixed point theorems with an application to a random nonlinear integral equation
In this paper, stochastic generalizations of some fixed point for operators satisfying random contractively generalized hybrid and some other contractive condition have been proved. We discuss also the existence of a solution to a nonlinear random integral equation in Banah spaces.
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: International Journal of Analysis
سال: 2014
ISSN: 2314-498X,2314-4998
DOI: 10.1155/2014/280709