Remarks on coupled fixed point theorem in cone metric spaces |
Nguyen Van Luong, Nguyen Xuan Thuan and K. P. R. Rao |
Abstract 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.
|
Keywords: Coupled fixed point; mixed monotone mapping; partially ordered set; cone metric space; compatible mappings. |
MSC: 47H10, 54H25 |
Pages: 122--136 |
Volume 65
, Issue 1
, 2013
|