scholarly journals lambda-fuzzy approximate fixed point in fuzzy metric spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
H. Mazaheri ◽  
S. A. M. Mohsenalhosseini
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Approximate Fixed Point ◽  
Fuzzy Metric

scholarly journals Common fixed point theorems for families of maps in complete L-fuzzy metric spaces

Filomat ◽  
2009 ◽  
Vol 23 (3) ◽  
pp. 67-80 ◽  
Author(s):  
Xianjiu Huang ◽  
Chuanxi Zhu ◽  
Xi Wen
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Compatible Mappings ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Common Fixed Point Theorems

In this paper, we prove some common fixed point theorems for any even number of compatible mappings in complete L-fuzzy metric spaces. Our main results extend and generalize some known results in fuzzy metric spaces, intuitionistic metric spaces and L-fuzzy metric spaces.

scholarly journals On Fuzzy Contractive Mappings in Fuzzy Metric Spaces

2021 ◽  
Author(s):  
Mohammad Hussein Mohammad Rashid
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Random Operator ◽  
Random Solution ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Mappings

Abstract In this paper we introduce a new fuzzy contraction mapping and prove that such mappings have fixed point in $\tau$-complete fuzzy metric spaces. As an application, we shall utilize the results obtained to show the existence and uniqueness of random solution for the following random linear random operator equation. Moreover, we shall show that the existence and uniqueness of the solutions for nonlinear Volterra integral equations on a kind of particular fuzzy metric space.

scholarly journals A fixed point theorem of Kannan type that characterizes fuzzy metric completeness

Filomat ◽  
2020 ◽  
Vol 34 (14) ◽  
pp. 4811-4819
Author(s):  
Salvador Romaguera
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Kannan Contraction

We obtain a fixed point theorem for complete fuzzy metric spaces, in the sense of Kramosil and Michalek, that extends the classical Kannan fixed point theorem. We also show that, in fact, our theorem allows to characterize the fuzzy metric completeness, extending in this way the well-known Reich-Subrahmanyam theorem that a metric space is complete if and only if every Kannan contraction on it has a fixed point.

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