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
收藏
页码：493 / 502
页数：10
相关论文
共 50 条
  • [31] Generalized probabilistic metric spaces and fixed point theorems
    Caili Zhou
    Shenghua Wang
    Ljubomir Ćirić
    Saud M Alsulami
    Fixed Point Theory and Applications, 2014
  • [32] Fixed point theorems of convex-power 1-set-contraction operators in Banach spaces
    Zhao Lvhuizi
    Sun Jingxian
    Fixed Point Theory and Applications, 2012
  • [33] FIXED POINT THEOREMS IN FUZZY METRIC SPACES AND MODULAR METRIC SPACES
    Noywiset, Anuruk
    Saejung, Satit
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (06) : 1105 - 1116
  • [34] Fixed Point Theorems in Fuzzy Inner Product Spaces
    Mohd.Rafi Segi Rahmat
    模糊系统与数学, 2008, (03) : 89 - 96
  • [35] Fixed point theorems of convex-power 1-set-contraction operators in Banach spaces
    Zhao Lvhuizi
    Sun Jingxian
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [36] Fixed point theorems for a class of positive mixed monotone operators
    Huang, Chao-Ya
    MATHEMATISCHE NACHRICHTEN, 2012, 285 (5-6) : 659 - 669
  • [37] Fixed point theorems and applications in p-vector spaces
    Yuan, George Xianzhi
    FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2023, 2023 (01):
  • [38] New result on fixed point theorems for φ-contractions in Menger spaces
    Hua, Huichun
    Chen, Minjiang
    Wang, Shenghua
    FIXED POINT THEORY AND APPLICATIONS, 2015, : 1 - 9
  • [39] New result on fixed point theorems for φ-contractions in Menger spaces
    Huichun Hua
    Minjiang Chen
    Shenghua Wang
    Fixed Point Theory and Applications, 2015
  • [40] Some Common Fixed Point Theorems in Menger PM Spaces
    M Imdad
    M Tanveer
    M Hasan
    Fixed Point Theory and Applications, 2010
12345