scholarly journals On Fuzzy Modular Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yonghong Shen ◽  
Wei Chen
Keyword(s):  
Limit Theorem ◽  
Modular Space ◽  
Topological Properties ◽  
Uniform Limit ◽  
Hausdorff Topology ◽  
Baire’S Theorem ◽  
Modular Spaces

The concept of fuzzy modular space is first proposed in this paper. Afterwards, a Hausdorff topology induced by aβ-homogeneous fuzzy modular is defined and some related topological properties are also examined. And then, several theorems onμ-completeness of the fuzzy modular space are given. Finally, the well-known Baire’s theorem and uniform limit theorem are extended to fuzzy modular spaces.

scholarly journals Some Properties of Fuzzy Quasimetric Spaces

2010 ◽  
Vol 2010 ◽  
pp. 1-9 ◽  
Author(s):  
Abdul Mohamad
Keyword(s):  
Limit Theorem ◽  
Metric Spaces ◽  
Uniform Limit ◽  
Baire’S Theorem ◽  
Quasimetric Space

Some properties of fuzzy quasimetric spaces are studied. We prove that the topology induced by any -complete fuzzy-quasi-space is a -complete quasimetric space. We also prove Baire's theorem, uniform limit theorem, and second countability result for fuzzy quasi-metric spaces.

scholarly journals Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a Graph

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Nour-eddine El Harmouchi ◽  
Karim Chaira ◽  
El Miloudi Marhrani
Keyword(s):  
Fixed Point ◽  
Nonexpansive Mapping ◽  
Fixed Point Theorems ◽  
Iterative Scheme ◽  
Modular Space ◽  
New Class ◽  
Modular Spaces

In this paper, we discuss a class of mappings more general than ρ-nonexpansive mapping defined on a modular space endowed with a graph. In our investigation, we prove the existence of fixed point results of these mappings. Then, we also introduce an iterative scheme for which proves the convergence to a fixed point of such mapping in a modular space with a graph.

A uniform limit theorem for predictive distributions

2002 ◽  
Vol 56 (2) ◽  
pp. 113-120
Author(s):  
Patrizia Berti ◽  
Pietro Rigo
Keyword(s):  
Limit Theorem ◽  
Uniform Limit ◽  
Predictive Distributions

scholarly journals Expansive Mappings and Their Applications in Modular Space

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
A. Azizi ◽  
R. Moradi ◽  
A. Razani
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Modular Space ◽  
Nonlinear Integral Equations ◽  
Modular Spaces

Some fixed point theorems forρ-expansive mappings in modular spaces are presented. As an application, two nonlinear integral equations are considered and the existence of their solutions is proved.

scholarly journals A Best Proximity Point Result in Modular Spaces with the Fatou Property

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Mohamed Jleli ◽  
Erdal Karapınar ◽  
Bessem Samet
Keyword(s):  
Existence And Uniqueness ◽  
Best Proximity Point ◽  
Sufficient Conditions ◽  
Modular Space ◽  
Fatou Property ◽  
Best Proximity Points ◽  
Modular Spaces

Consider a nonself-mapping , where is a pair of nonempty subsets of a modular space . A best proximity point of is a point satisfying the condition: . In this paper, we introduce the class of proximal quasicontraction nonself-mappings in modular spaces with the Fatou property. For such mappings, we provide sufficient conditions assuring the existence and uniqueness of best proximity points.

scholarly journals On Invariant Approximations in Modular Spaces

2021 ◽  
pp. 3097-3101
Author(s):  
Nadia Jasim Mohammed ◽  
Salwa Salman Abed
Keyword(s):  
Compact Subset ◽  
Best Approximation ◽  
Modular Space ◽  
Weakly Compact ◽  
Opial’S Condition ◽  
Banach Operator Pair ◽  
Modular Spaces

     This article is devoted to presenting results on invariant approximations over a non-star-shsped weakly compact subset of a complete modular space by introduced a new notion called S-star-shaped with center f:  if   be a mapping and , . Then the existence of common invariant best approximation is proved for Banach operator pair of mappings by combined the hypotheses with Opial’s condition or demi-closeness condition

scholarly journals Nadler’s Theorem on Incomplete Modular Space

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1927
Author(s):  
Fatemeh Lael ◽  
Naeem Saleem ◽  
Liliana Guran ◽  
Monica Felicia Bota
Keyword(s):  
Fixed Point ◽  
Modular Space ◽  
Integral Inclusion ◽  
Modular Spaces

This manuscript is focused on the role of convexity of the modular, and some fixed point results for contractive correspondence and single-valued mappings are presented. Further, we prove Nadler’s Theorem and some fixed point results on orthogonal modular spaces. We present an application to a particular form of integral inclusion to support our proposed version of Nadler’s theorem.

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