Geodesic
Solving one type nonlinear differential equation using fuzzy W-contractions
Shobha Jain1 ; Tatjana Došenović2 ; Stojan Radenović3 ; Shobha Jain ; Tatjana Došenović ; Stojan Radenović
1Shri Vaishnav Vidyapeeth Vishwavidyalaya, Indore (M.P.), India
2Faculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, 21000 Novi Sad, Serbia
3Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd 35, Serbia
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 4, pp. 321-332 
Shobha Jain; Tatjana Došenović; Stojan Radenović; Shobha Jain; Tatjana Došenović; Stojan Radenović. Solving one type nonlinear differential equation using fuzzy W-contractions. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 4, pp. 321-332. http://geodesic.mathdoc.fr/item/AMUC_2023_92_4_a4/
@article{AMUC_2023_92_4_a4,
     author = {Shobha Jain and Tatjana Do\v{s}enovi\'c and Stojan Radenovi\'c and Shobha Jain and Tatjana Do\v{s}enovi\'c and Stojan Radenovi\'c},
     title = { Solving one type nonlinear differential equation using fuzzy {W-contractions}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {321--332},
     year = {2023},
     volume = {92},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_4_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper, we present a new type of contraction called $W$-contraction in fuzzy metric space. Utilizing this contraction, we establish a unique fixed point theorem for self-map in the structure of fuzzy metric space which turns out to be generalization of fuzzy contraction given by Gregori et al. [8]. As an application of our result, we study the existence and uniqueness of the solution to nonlinear ordinary differential equations. The article also includes an example which shows the validity of our results.