FIXED POINT THEOREMS FOR COMPACT POTENTIAL OPERATORS IN HILBERT SPACES

被引：1

作者：

Boucenna, A. ^{[1
]}

Djebali, S. ^{[1
,2
]}

Moussaoui, T. ^{[1
]}

机构：

[1] Ecole Normale Super, Lab Fixed Point Theory & Applicat, BP 92, Algiers 16006, Algeria

[2] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math, POB 90950, Riyadh 11623, Saudi Arabia

来源：

FIXED POINT THEORY | 2017年 / 18卷 / 02期

关键词：

Potential operator; critical points; fixed point theorem; boundary value problem;

D O I：

10.24193/fpt-ro.2017.2.39

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to present new fixed point theorems for compact potential operators in Hilbert spaces. A variational approach is used and applications to boundary value problems illustrate the existence results.

引用

页码：493 / 502

页数：10

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