Geodesic
A unification of Geraghty type and Ćirić type fixed point theorems
Filomat, Tome 36 (2022) no. 8, p. 2605

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

DOI

In the framework of metric spaces, we introduce the concept of Geraghty- Ćirić type contractions and show the existence and uniqueness of the fixed point of such mappings. This result improves and unifies those obtained by Geraghty (Proc. Amer. Math. Soc. 40, 604-608 (1973)) and Ćirić (Proc. Amer. Math. Soc. 45, 267-273, (1974)). Several technical lemmas are employed to ensure that a Picard sequence is a Cauchy sequence. In addition, two illustrative examples are provided to indicate the validity of the obtained results.
DOI : 10.2298/FIL2208605L
Classification : 47H10, 54H25
Keywords: Geraghty type fixed point theroem, Ćirić type fixed point theroem, unified form 
Shu-Fang Li; Fei He; Ning Lu. A unification of Geraghty type and Ćirić type fixed point theorems. Filomat, Tome 36 (2022) no. 8, p. 2605 . doi: 10.2298/FIL2208605L
@article{10_2298_FIL2208605L,
     author = {Shu-Fang Li and Fei He and Ning Lu},
     title = {A unification of {Geraghty} type and {\'Ciri\'c} type fixed point theorems},
     journal = {Filomat},
     pages = {2605 },
     year = {2022},
     volume = {36},
     number = {8},
     doi = {10.2298/FIL2208605L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2208605L/}
}
TY  - JOUR
AU  - Shu-Fang Li
AU  - Fei He
AU  - Ning Lu
TI  - A unification of Geraghty type and Ćirić type fixed point theorems
JO  - Filomat
PY  - 2022
SP  - 2605 
VL  - 36
IS  - 8
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2208605L/
DO  - 10.2298/FIL2208605L
LA  - en
ID  - 10_2298_FIL2208605L
ER  - 
%0 Journal Article
%A Shu-Fang Li
%A Fei He
%A Ning Lu
%T A unification of Geraghty type and Ćirić type fixed point theorems
%J Filomat
%D 2022
%P 2605 
%V 36
%N 8
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2208605L/
%R 10.2298/FIL2208605L
%G en
%F 10_2298_FIL2208605L

Cité par Sources :