FIXED POINT THEOREMS AND THEIR APPLICATIONS TO ORDERED VARIATIONAL INEQUALITIES IN PARTIALLY ORDERED VECTOR SPACES

被引：0
|
作者：
Xie, Linsen [1 ]
Li, Jinlu [2 ]
机构：
[1] Lishui Univ, Dept Math, Lishui 323000, Zhejiang, Peoples R China
[2] Shawnee State Univ, Dept Math, Portsmouth, OH 45662 USA
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Partially ordered vector spaces; Riesz spaces; order-continuity; ordered Lipschitz condition; order-preserving mapping; fixed point; ordered variational inequalities;
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 condition of mappings on partially ordered vector spaces and Riesz spaces, respectively. We also provide some properties of order-continuous mapping. Then, we apply these properties to prove some existence theorems for fixed points on partially ordered vector spaces. We apply these theorems to solve some ordered variational inequalities on Riesz spaces.
引用
收藏
页码：1953 / 1966
页数：14
相关论文
共 50 条
  • [41] GENERALIZED DISTANCE AND FIXED POINT THEOREMS IN PARTIALLY ORDERED PROBABILISTIC METRIC SPACES
    Saadati, Reza
    MATEMATICKI VESNIK, 2013, 65 (01): : 82 - 93
  • [42] QUADRUPLE FIXED POINT THEOREMS FOR NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED METRIC SPACES
    Karapinar, Erdal
    Berinde, Vasile
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2012, 6 (01): : 74 - 89
  • [43] Coupled fixed point theorems with rational expressions in partially ordered metric spaces
    N. Seshagiri Rao
    K. Kalyani
    The Journal of Analysis, 2020, 28 : 1085 - 1095
  • [44] Coupled fixed point theorems on partially ordered G-metric spaces
    Karapinar, Erdal
    Kumam, Poom
    Erhan, Inci M.
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [45] On coupled fixed point theorems on partially ordered G-metric spaces
    Erdal Karapınar
    Billûr Kaymakçalan
    Kenan Taş
    Journal of Inequalities and Applications, 2012
  • [46] Triple fixed point theorems via α-series in partially ordered metric spaces
    Vats, Ramesh Kumar
    Tas, Kenan
    Sihag, Vizender
    Kumar, Amit
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [47] Fixed point theorems in generalized partially ordered G-metric spaces
    Saadati, R.
    Vaezpour, S. M.
    Vetro, P.
    Rhoades, B. E.
    MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (5-6) : 797 - 801
  • [48] Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
    Lakshmikantham, V.
    Ciric, Ljubomir
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) : 4341 - 4349
  • [49] Triple fixed point theorems via α-series in partially ordered metric spaces
    Ramesh Kumar Vats
    Kenan Tas
    Vizender Sihag
    Amit Kumar
    Journal of Inequalities and Applications, 2014
  • [50] Some fixed point theorems in ordered partial metric spaces with applications
    Eke, Kanayo Stella
    Oghonyon, Jimevwo Godwin
    COGENT MATHEMATICS & STATISTICS, 2018, 5 (01):
12345