Fixed point theorems in ordered cone metric spaces
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Authors
Young-Oh Yang
- Department of Mathematics, Jeju National University, Jeju 690-756, Korea.
Hong Joon Choi
- Department of Mathematics, Jeju National University, Jeju 690-756, Korea.
Abstract
In this paper, we prove a new fixed point theorem of a nondecreasing and continuous mapping satisfying
some type contractive condition in a partially ordered cone metric space by using \(c\)-distance. Also, we give
a fixed point theorem without the assumption of continuity in a partially ordered cone metric space with
normal cone.
Share and Cite
ISRP Style
Young-Oh Yang, Hong Joon Choi, Fixed point theorems in ordered cone metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4571--4579
AMA Style
Yang Young-Oh, Choi Hong Joon, Fixed point theorems in ordered cone metric spaces. J. Nonlinear Sci. Appl. (2016); 9(6):4571--4579
Chicago/Turabian Style
Yang, Young-Oh, Choi, Hong Joon. "Fixed point theorems in ordered cone metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4571--4579
Keywords
- Cone metric space
- normal cone
- c-distance
- common fixed point.
MSC
References
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