Fixed point theorems in ordered cone metric spaces

Volume 9, Issue 6, pp 4571--4579 http://dx.doi.org/10.22436/jnsa.009.06.95

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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.

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Keywords

• Cone metric space
• normal cone
• c-distance
• common fixed point.

MSC

•  47H10
•  54H25

References

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