Fixed point theorems in fuzzy cone metric spaces

Volume 10, Issue 11, pp 5763--5769 http://dx.doi.org/10.22436/jnsa.010.11.14

Publication Date: November 15, 2017 Submission Date: February 24, 2017

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Authors

Saif Ur Rehman - Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, P. R. China. Hong-Xu Li - Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, P. R. China.

Abstract

In this paper we prove some fixed point theorems in fuzzy cone metric spaces under some fuzzy cone contractive type conditions. Our results generalize the ``fuzzy cone Banach contraction theorem'' given by [T. Oner, M. B. Kandemire, B. Tanay, J. Nonlinear Sci. Appl., \(\textbf{8}\) (2015), 610--616] recently.

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Keywords

• Fixed point
• fuzzy cone metric space
• contraction condition

MSC

•  47H10
•  54H25

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