Existence and uniqueness of fixed points of an integral operator of Hammerstein type

被引：0
|
作者：
Haydarov, F. H. [1 ,2 ]
机构：
[1] Ulugbek Natl Univ Uzbekistan, Tashkent, Uzbekistan
[2] AKFA Univ, Tashkent, Uzbekistan
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2021年 / 208卷 / 03期
关键词：
Hammerstein integral operator; positive fixed point; existence; uniqueness; cone; normal cone; EQUATIONS;
D O I：
10.1134/S0040577921090051
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the existence and uniqueness of positive fixed points of an integral operator of the Hammerstein type in the space of continuous functions. Under certain conditions on the integral operator, we establish a sufficient condition for the the integral operator to have exactly one positive fixed point.
引用
收藏
页码：1228 / 1238
页数：11
相关论文
共 50 条
  • [31] THE EXISTENCE OF SOLUTIONS OF SYSTEMS OF NONLINEAR HAMMERSTEIN TYPE INTEGRAL EQUATIONS
    楚泽浦
    勒孚龙
    [J]. 四川师范大学学报(自然科学版), 1991, (01) : 9 - 10
  • [32] FIXED POINTS OF HAMMERSTEIN-TYPE EQUATIONS ON GENERAL CONES
    Figueroa, Ruben
    Tojo, F. Adrian F.
    [J]. FIXED POINT THEORY, 2018, 19 (02): : 571 - 586
  • [33] ON THE EXISTENCE OF FIXED-POINTS OF THE COMPOSITION OPERATOR FOR CIRCLE MAPS
    ECKMANN, JP
    EPSTEIN, H
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 107 (02) : 213 - 231
  • [34] Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings
    Farajzadeh, A. P.
    Delfani, M.
    Wang, Y. H.
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [35] Existence and uniqueness of fixed points in modified intuitionistic fuzzy metric spaces
    Chauhan, Sunny
    Shatanawi, Wasfi
    Kumar, Suneel
    Radenovic, Stojan
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (01): : 28 - 41
  • [36] Existence theory for nonlinear operator equations of Hammerstein type in Banach spaces
    O'Regan, D
    Precup, R
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2005, 14 (01): : 121 - 134
  • [37] On the solvability of a system of nonlinear integral equations with a monotone Hammerstein type operator
    Khachatryan, Kh. A.
    Petrosyan, H. S.
    [J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2022, 28 (02): : 201 - 214
  • [38] EXISTENCE THEOREMS OF FREDHOLM ALTERNATIVE TYPE FOR NONLINEAR HAMMERSTEIN INTEGRAL EQUATIONS
    HESS, P
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (02): : 413 - &
  • [39] Existence of Integrable Solutions of an Integral Equation of Hammerstein Type on an Unbounded Interval
    Salhi, Najeh
    Taoudi, Mohamed Aziz
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2012, 9 (04) : 729 - 739
  • [40] Existence of Integrable Solutions of an Integral Equation of Hammerstein Type on an Unbounded Interval
    Najeh Salhi
    Mohamed Aziz Taoudi
    [J]. Mediterranean Journal of Mathematics, 2012, 9 : 729 - 739
12345