ITERATIVE FIXED POINT THEOREMS AND THEIR APPLICATIONS TO ORDERED VARIATIONAL INEQUALITIES ON VECTOR LATTICES

被引：0
|
作者：
Li, Jinlu [1 ]
机构：
[1] Shawnee State Univ, Dept Math, Portsmouth, OH 45662 USA
来源：
FIXED POINT THEORY | 2016年 / 17卷 / 02期
关键词：
Vector lattice; order-continuity; ordered Lipschitz condition; order preserving map; fixed point; generalized Archimedean vector lattice; ordered variational inequality;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the concept of order-continuity and ordered Lipschitz conditions of maps on vector lattices, and we provide some properties of order-continuous maps. Then, by applying these properties, we prove some theorems for the existence of fixed points for maps. As applications of these results, we solve some ordered variational inequalities on vector lattices.
引用
收藏
页码：401 / 411
页数：11
相关论文
共 50 条
  • [41] Hybrid Extragradient Iterative Algorithms for Variational Inequalities, Variational Inclusions, and Fixed-Point Problems
    Ceng, Lu-Chuan
    Wen, Ching-Feng
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [42] ANALYSIS OF AN ITERATIVE ALGORITHM FOR SOLVING GENERALIZED VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS
    Yao, Zhangsong
    Zhu, Zhichuan
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (04): : 105 - 120
  • [43] Iterative Algorithms for Pseudomonotone Variational Inequalities and Fixed Point Problems of Pseudocontractive Operators
    Yao, Yonghong
    Postolache, Mihai
    Yao, Jen-Chih
    MATHEMATICS, 2019, 7 (12)
  • [44] Iterative methods for triple hierarchical variational inequalities and common fixed point problems
    Sahu, D. R.
    Kang, Shin Min
    Sagar, Vidya
    Kumar, Satyendra
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [45] Analysis of an iterative algorithm for solving generalized variational inequalities and fixed point problems
    Yao, Zhangsong
    Zhu, Zhichuan
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2021, 83 (04): : 105 - 120
  • [46] Strong Convergence of an Iterative Procedure for Pseudomonotone Variational Inequalities and Fixed Point Problems
    Yin, Tzu-Chien
    Pitea, Ariana
    FILOMAT, 2022, 36 (12) : 4111 - 4122
  • [47] ITERATIVE ALGORITHMS FOR PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS ON HADAMARD MANIFOLDS
    Ansari, Qamrul hasan
    Uddin, Moin
    YAOt, Jen-chih
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (05) : 1043 - 1063
  • [48] Modified fixed-point equations and related iterative methods for variational inequalities
    Xiu, NH
    Wang, YJ
    Zhang, XS
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (6-7) : 913 - 920
  • [49] Iterative methods for triple hierarchical variational inequalities and common fixed point problems
    DR Sahu
    Shin Min Kang
    Vidya Sagar
    Satyendra Kumar
    Fixed Point Theory and Applications, 2014
  • [50] Fixed point theorems and applications in p-vector spaces
    Yuan, George Xianzhi
    FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2023, 2023 (01):
12345