Fixed Point Theorems of Mixed Monotone Operators with Applications

被引:3
|
作者
谢胜利
张庆政
机构
关键词
cone; partial order; fixed point; mixed monotone operators; Banach spaces; ordinary differential equations;
D O I
暂无
中图分类号
O177 [泛函分析];
学科分类号
070104 ;
摘要
In this paper,we get fixed point theorems of mixed monotone operators in much weaker condition and give some applications for nonmonotone operators and differential equations.
引用
收藏
页码:24 / 30
页数:7
相关论文
共 50 条
  • [31] The existence of a fixed point for the sum of two monotone operators
    Yong-Zhuo Chen
    Positivity, 2008, 12 : 643 - 652
  • [32] The existence of a fixed point for the sum of two monotone operators
    Chen, Yong-Zhuo
    POSITIVITY, 2008, 12 (04) : 643 - 652
  • [33] Fixed point theorems for triangular operators
    Serban, Marcel-Adrian
    CARPATHIAN JOURNAL OF MATHEMATICS, 2008, 24 (03) : 409 - 416
  • [34] Fixed Point Theorems for Monotone Caristi Inward Mappings
    Alfuraidan, Monther Rashed
    Jorquera, Eduardo Daniel
    Khamsi, Mohamed Amine
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2018, 39 (10) : 1092 - 1101
  • [35] New fixed point theorems for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems
    Zhai, Chengbo
    Zhang, Lingling
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 382 (02) : 594 - 614
  • [36] FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIONS WITH APPLICATIONS TO COUPLED FIXED POINT THEORY
    Petrusel, Adrian
    Petrusel, Gabriela
    Xiao, Yi-Bin
    Yao, Jen-Chih
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (01) : 71 - 88
  • [37] F-closed sets and coupled fixed point theorems without the mixed monotone property
    Kutbi, Marwan Amin
    Roldan, Antonio
    Sintunavarat, Wutiphol
    Martinez-Moreno, Juan
    Roldan, Concepcion
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [38] F-closed sets and coupled fixed point theorems without the mixed monotone property
    Marwan Amin Kutbi
    Antonio Roldán
    Wutiphol Sintunavarat
    Juan Martínez-Moreno
    Concepción Roldán
    Fixed Point Theory and Applications, 2013
  • [39] The Fixed Point Problem for Systems of Coordinate-Wise Uniformly Monotone Operators and Applications
    Mircea-Dan Rus
    Mediterranean Journal of Mathematics, 2014, 11 : 109 - 122
  • [40] Fixed point theorems and convergence theorems for some monotone generalized nonexpansive mappings
    Alfuraidan, M. R.
    Khamsi, M. A.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2020, 36 (02) : 199 - 204