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
  • [21] An implicit iterative scheme for monotone variational inequalities and fixed point problems
    Ceng, L. C.
    Cubiotti, R.
    Yaoc, J. C.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) : 2445 - 2457
  • [22] An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities
    Yin, Tzu-Chien
    Wu, Yan-Kuen
    Wen, Ching-Feng
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [23] Iterative Methods for Pseudomonotone Variational Inequalities and Fixed-Point Problems
    Yonghong Yao
    Mihai Postolache
    Journal of Optimization Theory and Applications, 2012, 155 : 273 - 287
  • [24] Iterative Solutions for Solving Variational Inequalities and Fixed-Point Problems
    Zhu, Li-Jun
    Shahzad, Naseer
    Asiri, Asim
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [25] Iterative methods for hierarchical common fixed point problems and variational inequalities
    Sahu D.R.
    Kang S.M.
    Sagar V.
    Fixed Point Theory and Applications, 2013 (1)
  • [26] Iterative Methods for Pseudomonotone Variational Inequalities and Fixed-Point Problems
    Yao, Yonghong
    Postolache, Mihai
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 155 (01) : 273 - 287
  • [27] Iterative methods for hierarchical common fixed point problems and variational inequalities
    Sahu, D. R.
    Kang, Shin Min
    Sagar, Vidya
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [28] Existence theorems for vector variational inequalities
    Daniilidis, A
    Hadjisavvas, N
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1996, 54 (03) : 473 - 481
  • [29] Fixed point theorems in partially ordered metric spaces and applications
    Bhaskar, T. Gnana
    Lakshmikantham, V.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) : 1379 - 1393
  • [30] FIXED POINT THEOREMS IN PARTIALLY ORDERED TOPOLOGICAL SPACES WITH APPLICATIONS
    Taoudi, Mohamed Aziz
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2023, 62 (02) : 535 - 552
12345