Existence of Solutions for a Nonlinear Integral Equation via a Hybrid Fixed Point Theorem

被引：0
|
作者：
Marco Biondini
Tiziana Cardinali
机构：
[1] University of Perugia,Department of Mathematics and Computer Sciences
来源：
Results in Mathematics | 2017年 / 71卷
关键词：
47H10; 45G10; 47H08; 47H04; Condensing multimap; measure of noncompactness; Mönch set; hybrid fixed point theorem; nonlinear integral equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to prove the existence of continuous solutions for a nonlinear integral equation. Our existence theorem extends in a broad sense the analogous one obtained by L.T.P. Ngoc and N.T. Long. To this aim we first prove new variants of the Krasnosel’skii–Sadowskii and of the Krasnosel’skii–Däher fixed point theorems in Hausdorff locally convex topological vector spaces. These hybrid theorems improve some recently obtained results. Moreover a fixed point theorem for a multimap defined on a cartesian product subset of a Banach space is stated.
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页码：1259 / 1276
页数：17
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