Fixed point theory for cyclic $varphi$-contractions in fuzzy metric spaces
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Abstract:
In this paper, the notion of cyclic $varphi$-contraction in fuzzymetric spaces is introduced and a fixed point theorem for this typeof mapping is established. Meantime, an example is provided toillustrate this theorem. The main result shows that a self-mappingon a G-complete fuzzy metric space has a unique fixed point if itsatisfies the cyclic $varphi$-contraction. Afterwards, some results inconnection with the fixed point are given.
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Journal title
volume 10 issue 4
pages 125- 133
publication date 2013-08-30
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