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]   General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems [J].
Xiao-Jie Wang ;
Lu-Chuan Ceng ;
Hui-Ying Hu ;
Shi-Xiu Li .
Fixed Point Theory and Applications, 2014
[22]   AN ITERATIVE SCHEME FOR SOLVING FIXED POINT PROBLEM OF ASYMPTOTICALLY PSEUDOCONTRACTIVE OPERATORS AND VARIATIONAL INEQUALITIES [J].
Shen, Haibin ;
Chen, Yasong ;
Yao, Zhangsong .
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2022, 84 (02) :35-46
[23]   Fixed point theorems in ordered abstract spaces [J].
Nieto, Juan J. ;
Pouso, Rodrigo L. ;
Rodriguez-Lopez, Rosana .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (08) :2505-2517
[24]   Iterative fixed point theorems in E-metric spaces [J].
Zsolt Páles ;
Ioan-Radu Petre .
Acta Mathematica Hungarica, 2013, 140 :134-144
[25]   Iterative fixed point theorems in E-metric spaces [J].
Pales, Zs ;
Petre, I. -R. .
ACTA MATHEMATICA HUNGARICA, 2013, 140 (1-2) :134-144
[26]   Triple Hierarchical Variational Inequalities, Systems of Variational Inequalities, and Fixed Point Problems [J].
Ceng, Lu-Chuan ;
Yuan, Qing .
MATHEMATICS, 2019, 7 (02)
[27]   Fixed point and common fixed point theorems on ordered cone metric spaces [J].
Altun, Ishak ;
Damjanovic, Bosko ;
Djoric, Dragan .
APPLIED MATHEMATICS LETTERS, 2010, 23 (03) :310-316
[28]   Algorithms for the variational inequalities and fixed point problems [J].
Liu, Yaqiang ;
Yao, Zhangsong ;
Liou, Yeong-Cheng ;
Zhu, Li-Jun .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (01) :61-74
[29]   AN ITERATIVE METHOD FOR GENERALIZED VARIATIONAL INEQUALITIES WITH APPLICATIONS [J].
Wu, Changqun ;
Cho, Sun Young .
FIXED POINT THEORY, 2011, 12 (02) :497-508
[30]   ON MULTI-STEP ITERATIVE ALGORITHMS WITH INERTIA TERMS FOR VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS [J].
Shan, Zhuang ;
Zhu, Li-Jun ;
Wu, Danfeng .
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (12) :2883-2896
12345