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
  • [21] Some novel fixed point theorems in partially ordered metric spaces
    Gupta, Vishal
    Jungck, Gerald
    Mani, Naveen
    AIMS MATHEMATICS, 2020, 5 (05): : 4444 - 4452
  • [22] Multidimensional fixed point theorems in partially ordered complete metric spaces
    Roldan, A.
    Martinez-Moreno, J.
    Roldan, C.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (02) : 536 - 545
  • [23] COUPLED FIXED POINT THEOREMS IN PARTIALLY ORDERED CONE METRIC SPACES
    Ding, Hui-Sheng
    Li, Lu
    FILOMAT, 2011, 25 (02) : 137 - 149
  • [24] Coupled fixed point theorems in partially ordered metric spaces and application
    Aghajani, Asadollah
    Abbas, Mujahid
    Kallehbasti, Ehsan Pourhadi
    MATHEMATICAL COMMUNICATIONS, 2012, 17 (02) : 497 - 509
  • [25] REMARKS ON COUPLED FIXED POINT THEOREMS IN PARTIALLY ORDERED METRIC SPACES
    Karapinar, Erdal
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (03): : 115 - 128
  • [26] Fixed point theorems for almost contractions in partially ordered metric spaces
    Binayak S. Choudhury
    N. Metiya
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2012, 58 (1) : 21 - 36
  • [27] Fixed point theorems in partially ordered Banach spaces with applications to nonlinear fractional evolution equations
    Yang, He
    Agarwal, Ravi P.
    Nashine, Hemant K.
    Liang, Yue
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (03) : 1661 - 1678
  • [28] Fixed point theorems in partially ordered Banach spaces with applications to nonlinear fractional evolution equations
    He Yang
    Ravi P. Agarwal
    Hemant K. Nashine
    Yue Liang
    Journal of Fixed Point Theory and Applications, 2017, 19 : 1661 - 1678
  • [29] Coupled Fixed Point Theorems for Generalized Symmetric Contractions in Partially Ordered Metric Spaces and applications
    Jain, M.
    Tas, K.
    Rhoades, B. E.
    Gupta, N.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (03) : 438 - 454
  • [30] Fixed and common fixed point theorems in partially ordered quasi-metric spaces
    Shatanawi, Wasfi
    Noorani, Mohd Salmi M. D.
    Alsamir, Habes
    Bataihah, Anwar
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2016, 16 (04): : 516 - 528
12345