Geodesic
A note on fixed point theorems for rational Geraghty contractive mappings in ordered $b$-metric spaces
Kragujevac Journal of Mathematics, Tome 39 (2015) no. 2, p. 183

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

In this short note we prove the existence of fixed points for non-decreasing mappings in ordered extit{b}-metric spaces. Our results improve the recent results, established by F. Zabihi and A. Razani [Fixed point theorems for hybrid rational Geraghty contractive mappings in ordered $b$-metric spaces, Journal of Applied Mathematics, Volume 2014, Article ID 929821, 9 pages], with much more general conditions and shorter proofs. An example is given to show the superiority of our generalization.
Classification : 47H10 54H25
Keywords: Fixed point, Partially ordered set, $b$-metric space, $b$-Cauchy sequence 
@article{KJM_2015_39_2_a6,
     author = {Zoran Kadelburg and Stojan Radenovi\'c and Miloje Rajovi\'c},
     title = {A note on fixed point theorems for rational {Geraghty} contractive mappings in ordered $b$-metric spaces},
     journal = {Kragujevac Journal of Mathematics},
     pages = {183 },
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2015_39_2_a6/}
}
TY  - JOUR
AU  - Zoran Kadelburg
AU  - Stojan Radenović
AU  - Miloje Rajović
TI  - A note on fixed point theorems for rational Geraghty contractive mappings in ordered $b$-metric spaces
JO  - Kragujevac Journal of Mathematics
PY  - 2015
SP  - 183 
VL  - 39
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2015_39_2_a6/
LA  - en
ID  - KJM_2015_39_2_a6
ER  - 
%0 Journal Article
%A Zoran Kadelburg
%A Stojan Radenović
%A Miloje Rajović
%T A note on fixed point theorems for rational Geraghty contractive mappings in ordered $b$-metric spaces
%J Kragujevac Journal of Mathematics
%D 2015
%P 183 
%V 39
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2015_39_2_a6/
%G en
%F KJM_2015_39_2_a6
Zoran Kadelburg; Stojan Radenović; Miloje Rajović. A note on fixed point theorems for rational Geraghty contractive mappings in ordered $b$-metric spaces. Kragujevac Journal of Mathematics, Tome 39 (2015) no. 2, p. 183 . http://geodesic.mathdoc.fr/item/KJM_2015_39_2_a6/