On fuzzy ψ-contractive sequences and fixed point theorems

被引:25
作者
Gregori, Valentin [1 ]
Minana, Juan-Jose [1 ]
机构
[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Camino Vera S-N, E-46022 Valencia, Spain
关键词
Fuzzy metric space; Fuzzy contractive mapping; Fixed point; METRIC-SPACES; MAPPINGS;
D O I
10.1016/j.fss.2015.12.010
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we give a fixed point theorem in the context of fuzzy metric spaces in the sense of George and Veeramani. As a consequence of our result we obtain a fixed point theorem due to D. Mihet and generalize a fixed point theorem due to D. Wardowski. Also, we answer in a positive way to a question posed by D. Wardowski, and solve partially an open question on Cauchyness and contractivity. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:93 / 101
页数:9
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