Fixed point theorem by altering distance technique in complete fuzzy metric spaces

2020 ◽  
Vol 13 (4) ◽  
pp. 437
Author(s):  
Vishal Gupta ◽  
R.K. Saini ◽  
Manu Verma
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Altering Distance

scholarly journals Fixed point theorem in fuzzy metric spaces using altering distance

Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1517-1524 ◽  
Author(s):  
Tatjana Dosenovic ◽  
Dusan Rakic ◽  
Mirjana Brdar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Altering Distance

The aim of the presented paper is to study the fixed point theorems in complete and compact fuzzy metric spaces as improvement of some recent results (M.S. Khan, M. Swaleh, S. Sessa, 1984.)[20]. For this purpose, the condition of the maximum type defined by altering distance is used. The research is illustrated by three examples.

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.

scholarly journals A Common Fixed Point Theorem in Fuzzy Metric Spaces with Nonlinear Contractive Type Condition Defined Using Φ-Function

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Siniša N. Ješić ◽  
Nataša A. Babačev ◽  
Rale M. Nikolić
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Type Condition ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Type ◽  
Common Fixed Point Theorem

This paper is to present a common fixed point theorem for twoR-weakly commuting self-mappings satisfying nonlinear contractive type condition defined using a Φ-function, defined on fuzzy metric spaces. Some comments on previously published results and some examples are given.

scholarly journals The N-Fuzzy Metric Spaces and Mappings with Application

2015 ◽  
Vol 55 (1) ◽  
pp. 133-151 ◽  
Author(s):  
Neeraj Malviya
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Implicit Relation ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

Abstract In the present paper, we introduce the notion of N-fuzzy metric spaces (NFMSs), Pseudo N-fuzzy metric spaces and describe some of their properties. Also we prove a fixed point theorem using implicit relation in N-fuzzy metric spaces.

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