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] Applications of the proximity map to random fixed point theorems in Hilbert spaces
    Beg, I
    Shahzad, N
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 196 (02) : 606 - 613
  • [32] Fixed point and coupled fixed point theorems for multivalued increasing operators in ordered metric spaces
    Huang, NJ
    Fang, YP
    Cho, YJ
    [J]. FIXED POINT THEORY AND APPLICATIONS, VOL 3, 2002, : 91 - 97
  • [33] Chatterjee and Extension of Chatterjee Fixed Point Theorems on Operators on Hilbert C*-Modules
    Rashwan, Rashwan A.
    AlFran, Howida Adel
    Fangary, Asmaa
    Omran, Saleh
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, 14 (04): : 1237 - 1248
  • [34] Fixed point results for decreasing convex orbital operators in Hilbert spaces
    Adrian Petruşel
    Gabriela Petruşel
    [J]. Journal of Fixed Point Theory and Applications, 2021, 23
  • [35] Fixed point results for decreasing convex orbital operators in Hilbert spaces
    Petrusel, Adrian
    Petrusel, Gabriela
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2021, 23 (03)
  • [36] NEW FIXED POINT THEOREMS FOR PSEUDOCONTRACTIVE MAPPINGS AND ZERO POINT THEOREMS FOR ACCRETIVE OPERATORS IN BANACH SPACES
    Su, Yongfu
    Li, Mengqin
    [J]. FIXED POINT THEORY, 2010, 11 (01): : 129 - 132
  • [37] SOME REMARKS ON FIXED POINT THEOREMS FOR NONLINEAR OPERATORS IN BANACH SPACES
    DEFIGUEIREDO, DG
    [J]. ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1967, 39 (3-4): : 345 - +
  • [38] HOLDER-TYPE SPACES, SINGULAR OPERATORS, AND FIXED POINT THEOREMS
    Appell, Juergen
    Dutkiewicz, Aldona
    Lopez, Belen
    Reinwand, Simon
    Sadarangani, Kishin
    [J]. FIXED POINT THEORY, 2021, 22 (01): : 31 - 58
  • [39] FIXED POINT THEOREMS FOR NONSELF OPERATORS IN b-METRIC SPACES
    Bota, Monica-Felicia
    Ilea, Veronica
    [J]. FIXED POINT THEORY, 2015, 16 (02): : 225 - 232
  • [40] FIXED POINT THEOREMS FOR MULTIVALUED CONTRACTIVE OPERATORS ON GENERALIZED METRIC SPACES
    Guran, Liliana
    Latif, Abdul
    [J]. FIXED POINT THEORY, 2015, 16 (02): : 327 - 336
12345