ON THE NUMBER OF FIXED POINTS OF NONLINEAR OPERATORS AND APPLICATIONS

被引：1

作者：

SUN Jingxian Department of Mathematics Xuzhou Normal University Xuzhou ChinaZHANG Kernel Department of Mathematics Qufu Normal University Qufu China ^{[221116
,273165
]}

机构：

来源：

Journal of Systems Science and Complexity | 2003年 / 02期

关键词：

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

<正> In this paper, the famous Amann three-solution theorem is generalized. Multiplicity question of fixed points for nonlinear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least six distinct fixed points of nonlinear operators is proved. The theoretical results are then applied to nonlinear system of Hammerstein integral equations.

引用

页码：229 / 235

页数：7

共 50 条

[41] Some results on fixed points of nonlinear operators and solutions of equilibrium problems
Cheng, Peng
Min, Zhaocui
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1541 - 1548
[42] Coupled minimax fixed-points of nonlinear operators and its application
Hong, Shihuang
Hu, Shigeng
Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology, 1997, 25 (Suppl 2): : 33 - 36
[43] Fixed points of some nonlinear operators in spaces of multifunctions and the Ulam stability
Brzdek, Janusz
Piszczek, Magdalena
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 2441 - 2448
[44] Fixed points of some nonlinear operators in spaces of multifunctions and the Ulam stability
Janusz Brzdęk
Magdalena Piszczek
Journal of Fixed Point Theory and Applications, 2017, 19 : 2441 - 2448
[45] Approximation algorithm for fixed points of nonlinear operators and solutions of mixed equilibrium problems and variational inclusion problems with applications
Witthayarat, Uamporn
Cho, Yeol Je
Kumam, Poom
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2012, 5 (06): : 475 - 494
[46] ITERATIONS OF OPERATORS AND FIXED POINTS
ZABREIKO, PP
KRASNOSE.MA
DOKLADY AKADEMII NAUK SSSR, 1971, 196 (05): : 1006 - &
[47] FIXED POINTS, COUPLED FIXED POINTS AND BEST PROXIMITY POINTS FOR CYCLIC OPERATORS
Petrusel, Adrian
Petrusel, Gabriela
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 20 (08) : 1637 - 1646
[48] Fixed points for mixed monotone multivalued operators in Banach spaces with applications
Hong, Shihuang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (01) : 333 - 342
[49] FIXED-POINTS OF ANALYTIC OPERATORS IN A BANACH-SPACE AND THEIR APPLICATIONS
KHATSKEVICH, VA
SHOIKHET, DM
SIBERIAN MATHEMATICAL JOURNAL, 1984, 25 (01) : 156 - 166
[50] Fixed points of discontinuous multivalued increasing operators in Banach spaces with applications
Hong, SH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 282 (01) : 151 - 162

← 1 2 3 4 5 →