Fuzzy-Prešic-Ciric Operators and Applications to Certain Nonlinear Differential Equations

Fuzzy-Prešic-Ciric Operators and Applications to Certain Nonlinear Differential Equations

In this paper, we introduce a new class of operators called fuzzy-Preši´cCiri´c operators. For this type of operators, the existence and uniqueness of fixed point ´ in M-complete fuzzy metric spaces endowed with H-type t-norms are established. The results proved here generalize and extend some comp...

Full description

Bibliographic Details
Main Authors: Satish Shukla, Dhananjay Gopal, Rosana Rodrıguez-Lopez
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2016-11-01
Series:Mathematical Modelling and Analysis
Subjects:
Fuzzy-Prešic-Ciric operator
fuzzy metric space
fixed point
nonlinear differential equations
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/866
id doaj-18db7286fc5249af964d8735729eea7e
record_format Article
spelling doaj-18db7286fc5249af964d8735729eea7e2021-07-02T07:56:45ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102016-11-0121610.3846/13926292.2016.1247303Fuzzy-Prešic-Ciric Operators and Applications to Certain Nonlinear Differential EquationsSatish Shukla0Dhananjay Gopal1Rosana Rodrıguez-Lopez2Department of Applied Mathematics, Shri Vaishnav Institute of Technology & Science, Gram Baroli, Sanwer Road, 453331 Indore, IndiaDepartment of Applied Mathematics and Humanities, S.V. National Institute of Technology, Surat, 395-007 Gujarat, IndiaDepartamento de An´alisis Matem´atico, Facultad de Matem´aticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain In this paper, we introduce a new class of operators called fuzzy-Preši´cCiri´c operators. For this type of operators, the existence and uniqueness of fixed point ´ in M-complete fuzzy metric spaces endowed with H-type t-norms are established. The results proved here generalize and extend some comparable results in the existing literature. An example is included which illustrates the main result of this paper. Moreover, some applications of our main theorem to the study of certain types of nonlinear differential equations are provided. https://journals.vgtu.lt/index.php/MMA/article/view/866Fuzzy-Prešic-Ciric operatorfuzzy metric spacefixed pointnonlinear differential equations
collection DOAJ
language English
format Article
sources DOAJ
author Satish Shukla
Dhananjay Gopal
Rosana Rodrıguez-Lopez
spellingShingle Satish Shukla
Dhananjay Gopal
Rosana Rodrıguez-Lopez
Fuzzy-Prešic-Ciric Operators and Applications to Certain Nonlinear Differential Equations
Mathematical Modelling and Analysis
Fuzzy-Prešic-Ciric operator
fuzzy metric space
fixed point
nonlinear differential equations
author_facet Satish Shukla
Dhananjay Gopal
Rosana Rodrıguez-Lopez
author_sort Satish Shukla
title Fuzzy-Prešic-Ciric Operators and Applications to Certain Nonlinear Differential Equations
title_short Fuzzy-Prešic-Ciric Operators and Applications to Certain Nonlinear Differential Equations
title_full Fuzzy-Prešic-Ciric Operators and Applications to Certain Nonlinear Differential Equations
title_fullStr Fuzzy-Prešic-Ciric Operators and Applications to Certain Nonlinear Differential Equations
title_full_unstemmed Fuzzy-Prešic-Ciric Operators and Applications to Certain Nonlinear Differential Equations
title_sort fuzzy-prešic-ciric operators and applications to certain nonlinear differential equations
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2016-11-01
description In this paper, we introduce a new class of operators called fuzzy-Preši´cCiri´c operators. For this type of operators, the existence and uniqueness of fixed point ´ in M-complete fuzzy metric spaces endowed with H-type t-norms are established. The results proved here generalize and extend some comparable results in the existing literature. An example is included which illustrates the main result of this paper. Moreover, some applications of our main theorem to the study of certain types of nonlinear differential equations are provided.
topic Fuzzy-Prešic-Ciric operator
fuzzy metric space
fixed point
nonlinear differential equations
url https://journals.vgtu.lt/index.php/MMA/article/view/866
work_keys_str_mv AT satishshukla fuzzypresicciricoperatorsandapplicationstocertainnonlineardifferentialequations
AT dhananjaygopal fuzzypresicciricoperatorsandapplicationstocertainnonlineardifferentialequations
AT rosanarodrıguezlopez fuzzypresicciricoperatorsandapplicationstocertainnonlineardifferentialequations
_version_ 1721335312881287168

Similar Items