MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
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.

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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