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
  • [41] Fixed point theorems in ordered Banach spaces via quasilinearization
    Lakshmikantham, V.
    Carl, S.
    Heikkila, S.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 3448 - 3458
  • [42] FIXED POINT THEOREMS FOR EXPANDING MAPPINGS IN CONE METRIC SPACES
    Huang, Xianjiu
    Zhu, Chuanxi
    Wen, Xi
    MATHEMATICAL REPORTS, 2012, 14 (02): : 141 - 148
  • [43] Some fixed point theorems in complex valued metric spaces
    Sitthikul, Kittipong
    Saejung, Satit
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [44] Fixed point theorems for expanding mappings in partial metric spaces
    Huang, Xianjiu
    Zhu, Chuanxi
    Wen, Xi
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2012, 20 (01): : 213 - 224
  • [45] Fixed point theorems on quasi-partial metric spaces
    Karapinar, Erdal
    Erhan, I. M.
    Ozturk, Ali
    MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (9-10) : 2442 - 2448
  • [46] VECTOR CONE METRIC SPACES AND SOME FIXED POINT THEOREMS
    Gangopadhyay, Mukti
    Saha, Mantu
    Baisnab, A. P.
    JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2012, 7 (01): : 974 - 987
  • [47] Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
    J. O. Olaleru
    Fixed Point Theory and Applications, 2009
  • [48] Some Coupled Fixed Point Theorems in Cone Metric Spaces
    F. Sabetghadam
    H. P. Masiha
    A. H. Sanatpour
    Fixed Point Theory and Applications, 2009
  • [49] Fixed Point Theorems on Soft S-Metric Spaces
    Aras, Cigdem Gunduz
    Bayramov, Sadi
    Cafarli, Vefa
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2018, 9 (04): : 725 - 735