Remarks on coupled fixed point theorem in cone metric spaces

Authors

  • Nguyen Van Luong Department of Natural Sciences, Hong Duc University, Thanh Hoa, Vietnam Author
  • Nguyen Xuan Thuan Department of Natural Sciences, Hong Duc University, Thanh Hoa, Vietnam Author
  • K. P. R. Rao Department of Applied Mathematics, Acharya Nagarjuna Univertsity-Dr.M.R.Appa Row Campus, Nuzvid-521 201, Krishna District, Andhra Pradesh, India Author

Keywords:

Coupled fixed point, mixed monotone mapping, partially ordered set, cone metric space, compatible mappings

Subjects:

47H10, 54H25

Abstract

In this paper, we first showthat some coupled fixed point theorems in cone metric spaces areproper consequences of relevant fixed point theorems. Then we giveand prove some corresponding coupled fixed point theorems inpartially ordered cone metric spaces. Some examples are also givento illustrate our work.

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Published

2013-01-15

Issue

Vol. 65 No. 1 (2013): Vol. 65, Issue 1

Section

Articles

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Copyright (c) 2013 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.