REMARKS ON COUPLED FIXED POINT THEOREMS IN CONE METRIC SPACES

被引:0
|
作者
Nguyen Van Luong [1 ]
Nguyen Xuan Thuan [1 ]
Rao, K. P. R. [2 ]
机构
[1] Hong Duc Univ, Dept Nat Sci, Thanh Hoa, Vietnam
[2] Acharya Nagarjuna Univ, Dept Appl Math, Nuzvid 521201, Andhra Pradesh, India
来源
MATEMATICKI VESNIK | 2013年 / 65卷 / 01期
关键词
Coupled fixed point; mixed monotone mapping; partially ordered set; cone metric space; compatible mappings;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we first show that some coupled fixed point theorems in cone metric spaces are proper consequences of relevant fixed point theorems. Then we give and prove some corresponding coupled fixed point theorems in partially ordered cone metric spaces. Some examples are also given to illustrate our work.
引用
收藏
页码:122 / 136
页数:15
相关论文
共 50 条
  • [31] Fixed point theorems for multivalued maps in cone metric spaces
    Seong-Hoon Cho
    Jong-Sook Bae
    Fixed Point Theory and Applications, 2011
  • [32] Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
    J. O. Olaleru
    Fixed Point Theory and Applications, 2009
  • [33] On Generalized Algebraic Cone Metric Spaces and Fixed Point Theorems
    Qing Meng
    Chinese Annals of Mathematics, Series B, 2019, 40 : 429 - 438
  • [34] Fixed point theorems for contractive mapping in cone metric spaces
    Asadi, Mehdi
    Vaezpour, S. Mansour
    Rakocevic, Vladimir
    Rhoades, Billy E.
    MATHEMATICAL COMMUNICATIONS, 2011, 16 (01) : 147 - 155
  • [35] FIXED POINT THEOREMS FOR EXPANDING MAPPINGS IN CONE METRIC SPACES
    Huang, Xianjiu
    Zhu, Chuanxi
    Wen, Xi
    MATHEMATICAL REPORTS, 2012, 14 (02): : 141 - 148
  • [36] VECTOR CONE METRIC SPACES AND SOME FIXED POINT THEOREMS
    Gangopadhyay, Mukti
    Saha, Mantu
    Baisnab, A. P.
    JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2012, 7 (01): : 974 - 987
  • [37] On Generalized Algebraic Cone Metric Spaces and Fixed Point Theorems
    Meng, Qing
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2019, 40 (03) : 429 - 438
  • [38] Some fixed point theorems on ordered cone metric spaces
    Altun I.
    Durmaz G.
    Rendiconti del Circolo Matematico di Palermo, 2009, 58 (2) : 319 - 325
  • [39] Fixed point theorems for multivalued maps in cone metric spaces
    Cho, Seong-Hoon
    Bae, Jong-Sook
    FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 7
  • [40] Cone metric spaces and fixed point theorems of contractive mappings
    Huang Long-Guang
    Zhang Xian
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) : 1468 - 1476