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Mathematical Communications, Vol. 15 No. 2, 2010.

Original scientific paper

On $(g, \varphi)$-contraction in intuitionistic fuzzy metric spaces

Xianjiu Huang orcid id orcid.org/0000-0001-6784-1443 ; Department of Mathematics, Nanchang University, Nanchang, P. R. China
Chuanxi Zhu ; Department of Mathematics, Nanchang University, Nanchang, P. R. China
Xi Wen ; Department of Computer Science, Nanchang University, Nanchang, P. R. China

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page 425-435

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Abstract

In this paper, we give a generalization of Hicks type contractions
and Golet type contractions in intuitionistic fuzzy metric spaces.
We prove some fixed point theorems for this new type contraction
mappings on intuitionistic fuzzy metric spaces. These results
generalize some known results in fuzzy metric spaces and
probabilistic metric spaces.

Keywords

Intuitionistic fuzzy metric spaces; fixed point; $(g; \varphi)$-contraction; multi-valued mapping

Hrčak ID:

61869

URI

https://hrcak.srce.hr/61869

Publication date:

8.12.2010.

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