The behaviour of measures of noncompactness in L∞(Rn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^\infty ({\mathbb {R}}^n)$$\end{document} with application to the solvability of functional integral equations

被引：0
作者：
Reza Allahyari
机构：
[1] Islamic Azad University,Department of Mathematics, Mashhad Branch
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2018年 / 112卷 / 2期
关键词：
Measure of noncompactness; Darbo’s fixed point theorem; Fixed point; Modulus of continuity; Integral equations; 47H09; 47H10;
D O I：
10.1007/s13398-017-0397-4
中图分类号：
学科分类号：
摘要：
In this work, we define a new measure of noncompactness on the space L∞(Rn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^\infty ({\mathbb {R}}^n)$$\end{document}. In addition, we study the existence of solutions for a class of nonlinear functional integral equations of Fredholm type by using an extension of Darbo’s fixed point theorem associated with this new measure of noncompactness. Also, we will include an example which shows the efficiency of our results. The obtained results improve several ones obtained earlier.
引用
收藏
页码：561 / 573
页数：12
相关论文
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