PAIRS OF FIXED POINTS FOR A CLASS OF OPERATORS ON HILBERT SPACES

被引:0
|
作者
Mokhtari, Abdelhak [1 ,2 ]
Saoudi, Kamel [3 ,4 ]
Repovs, Dusan D. [5 ,6 ,7 ]
机构
[1] Univ Msila, Fac Math & Informat, Math Dept, Msila, Algeria
[2] ENS Kouba, Dept Math, Lab Fixed Point Theory & Applicat, Algiers, Algeria
[3] Univ Imam Abdulrahman Bin Faisal, Coll Sci Dammam, Dammam 31441, Saudi Arabia
[4] Imam Abdulrahman Bin Faisal Univ, Basic & Appl Sci Res Ctr, POB 1982, Dammam 31441, Saudi Arabia
[5] Univ Ljubljana, Fac Educ, Ljubljana 1000, Slovenia
[6] Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, Slovenia
[7] Inst Math Phys & Mech, Ljubljana 1000, Slovenia
来源
FIXED POINT THEORY | 2024年 / 25卷 / 02期
关键词
Hilbert space; potential operator; genus; fixed point theorem; boundary value problem; MULTIPLICITY; EXISTENCE; EQUATION; MAPPINGS; THEOREMS;
D O I
10.24193/fpt-ro.2024.2.14
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, existence of pairs of solutions is obtained for compact potential operators on Hilbert spaces. An application to a second-order boundary value problem is also given as an illustration of our results.
引用
收藏
页码:667 / 676
页数:10
相关论文
共 50 条
  • [1] Approximation of Fixed Points for Enriched Suzuki Nonexpansive Operators with an Application in Hilbert Spaces
    Ullah, Kifayat
    Ahmad, Junaid
    Arshad, Muhammad
    Ma, Zhenhua
    AXIOMS, 2022, 11 (01)
  • [2] Fixed points of nonexpansive potential operators in Hilbert spaces
    Biagio Ricceri
    Fixed Point Theory and Applications, 2012
  • [3] Fixed points of nonexpansive potential operators in Hilbert spaces
    Ricceri, Biagio
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [4] The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class C
    Donganont, Mana
    Ansari, Arsalan Hojjat
    Maksimovic, Snjezana
    Mitrovic, Zoran D.
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2025, 22 (01): : 149 - 161
  • [5] FIXED POINT THEOREMS FOR COMPACT POTENTIAL OPERATORS IN HILBERT SPACES
    Boucenna, A.
    Djebali, S.
    Moussaoui, T.
    FIXED POINT THEORY, 2017, 18 (02): : 493 - 502
  • [6] Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications
    Yujun Cui
    Jingxian Sun
    Positivity, 2011, 15 : 455 - 464
  • [7] Fixed point theorems for a class of nonlinear operators in Hilbert spaces with lattice structure and application
    Cui, Yujun
    Sun, Jingxian
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [8] Fixed point theorems for a class of nonlinear operators in Hilbert spaces with lattice structure and application
    Yujun Cui
    Jingxian Sun
    Fixed Point Theory and Applications, 2013
  • [9] Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications
    Cui, Yujun
    Sun, Jingxian
    POSITIVITY, 2011, 15 (03) : 455 - 464
  • [10] Fixed points in countably Hilbert spaces
    Nashat Faried
    Hany A El-Sharkawy
    Journal of Inequalities and Applications, 2016