Geodesic
On some contractive mappings and a new version of implicit function theorem in topological spaces
Filomat, Tome 37 (2023) no. 15, p. 4959

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

Study on existence of fixed points of contraction and contractive (type) mappings in topological spaces is a challenging task. The main goal of this article is to deal with this challenging task. To achieve our goal, we define two new contractive type mappings, namely, h-A-contractive and h-A 1-contractive mappings on a topological space X, where h : X × X → R + is a function and A, A 1 are two collections of implicit functions. Then, we obtain some fixed point results concerning such contractive type mappings. Finally, as an application of one of the above mentioned fixed point results, we obtain a newer version of the implicit function theorem in topological spaces.
DOI : 10.2298/FIL2315959L
Classification : 47H10, 54H25
Keywords: Contractive mappings, Fixed point, Implicit function theorem, Non-differential form 
Supriti Laha; Hiranmoy Garai; Adrian Petruşel; Lakshmi Kanta Dey. On some contractive mappings and a new version of implicit function theorem in topological spaces. Filomat, Tome 37 (2023) no. 15, p. 4959 . doi: 10.2298/FIL2315959L
@article{10_2298_FIL2315959L,
     author = {Supriti Laha and Hiranmoy Garai and Adrian Petru\c{s}el and Lakshmi Kanta Dey},
     title = {On some contractive mappings and a new version of implicit function theorem in topological spaces},
     journal = {Filomat},
     pages = {4959 },
     year = {2023},
     volume = {37},
     number = {15},
     doi = {10.2298/FIL2315959L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2315959L/}
}
TY  - JOUR
AU  - Supriti Laha
AU  - Hiranmoy Garai
AU  - Adrian Petruşel
AU  - Lakshmi Kanta Dey
TI  - On some contractive mappings and a new version of implicit function theorem in topological spaces
JO  - Filomat
PY  - 2023
SP  - 4959 
VL  - 37
IS  - 15
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2315959L/
DO  - 10.2298/FIL2315959L
LA  - en
ID  - 10_2298_FIL2315959L
ER  - 
%0 Journal Article
%A Supriti Laha
%A Hiranmoy Garai
%A Adrian Petruşel
%A Lakshmi Kanta Dey
%T On some contractive mappings and a new version of implicit function theorem in topological spaces
%J Filomat
%D 2023
%P 4959 
%V 37
%N 15
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2315959L/
%R 10.2298/FIL2315959L
%G en
%F 10_2298_FIL2315959L

Cité par Sources :