FIXED POINT THEOREMS IN FRECHET ALGEBRAS AND FRECHET SPACES AND APPLICATIONS TO NONLINEAR INTEGRAL EQUATIONS

被引：28

作者：

Dudek, Szymon ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 8, PL-35959 Rzeszow, Poland

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2017年 / 11卷 / 02期

关键词：

Frechet algebra; Measure of noncompactness; Fixed point theorem of Darbo type; Nonlinear integral Volterra equation; Convolution; BANACH-SPACES; EXISTENCE;

D O I：

10.2298/AADM1702340D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present two new fixed point theorems in Frechet algebras and Frechet spaces. Our fixed point results are expressed with the help of family of measures of noncompactness and generalizes Darbo theorem. As an application, we establish some existence results for various types of nonlinear integral equations.

引用

页码：340 / 357

页数：18

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