Fuzzy contractive mappings and fixed points in fuzzy metric spaces

2013 ◽  
Vol 222 ◽  
pp. 108-114 ◽  
Author(s):  
Dariusz Wardowski
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Mappings

scholarly journals Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
N. Hussain ◽  
P. Salimi
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Natural Generalization ◽  
Linear Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Modular Metric Spaces ◽  
Contractive Mappings

The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalizedα-admissible modular contractive mappings in modular metric spaces. As applications, we derive some new fixed point theorems in partially ordered modular metric spaces, Suzuki type fixed point theorems in modular metric spaces and new fixed point theorems for integral contractions. In last section, we develop an important relation between fuzzy metric and modular metric and deduce certain new fixed point results in triangular fuzzy metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.

scholarly journals On fixed points of rational contractions in generalized parametric metric and fuzzy metric spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Thounaojam Stephen ◽  
Yumnam Rohen ◽  
Nabil Mlaiki ◽  
Mairembam Bina ◽  
Nawab Hussain ◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Partially Ordered ◽  
Fuzzy Metric ◽  
Contractive Mappings ◽  
Rational Type

AbstractWe introduce the notion of generalized parametric metric spaces along with the study of its various properties. Further, we prove some new fixed point theorems for $(\alpha ,\psi )$ ( α , ψ ) -rational-type contractive mappings in generalized parametric metric spaces. As a consequence, we deduce fixed point theorems for $(\alpha , \psi )$ ( α , ψ ) -rational-type contractive mappings in partially ordered rectangular generalized 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.

Common fixed points of compatible maps of type (β) on fuzzy metric spaces

1998 ◽  
Vol 93 (1) ◽  
pp. 99-111 ◽  
Author(s):  
Y.J. Cho ◽  
H.K. Pathak ◽  
S.M. Kang ◽  
J.S. Jung
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Compatible Maps ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric
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