Geodesic
Generalized Suzuki Type $\mathcal Z$-Contraction in Complete Metric Spaces
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 419 .

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

In this paper, we introduce the notion of Suzuki type $\mathcal{Z}$-contraction and study the corresponding fixed point property. This kind of contraction generalizes the Banach contraction and unifies several known type of nonlinear contractions. We consider a nonlinear operator satisfying a nonlinear contraction in a metric space and prove fixed point results. As an application, we apply our result to show the solvability of nonlinear Hammerstein integral equations.
Classification : 47H09 47H10, 37C25
Keywords: Suzuki type $\mathcalZ$-contraction, fixed point, metric space, nonlinear Hammerstein integral equations 
@article{KJM_2018_42_3_a7,
     author = {A. Padcharoen and P. Kumam and P. Saipara and P. Chaipunya},
     title = {Generalized {Suzuki} {Type} $\mathcal Z${-Contraction} in {Complete} {Metric} {Spaces}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {419 },
     publisher = {mathdoc},
     volume = {42},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a7/}
}
TY  - JOUR
AU  - A. Padcharoen
AU  - P. Kumam
AU  - P. Saipara
AU  - P. Chaipunya
TI  - Generalized Suzuki Type $\mathcal Z$-Contraction in Complete Metric Spaces
JO  - Kragujevac Journal of Mathematics
PY  - 2018
SP  - 419 
VL  - 42
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a7/
LA  - en
ID  - KJM_2018_42_3_a7
ER  - 
%0 Journal Article
%A A. Padcharoen
%A P. Kumam
%A P. Saipara
%A P. Chaipunya
%T Generalized Suzuki Type $\mathcal Z$-Contraction in Complete Metric Spaces
%J Kragujevac Journal of Mathematics
%D 2018
%P 419 
%V 42
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a7/
%G en
%F KJM_2018_42_3_a7
A. Padcharoen; P. Kumam; P. Saipara; P. Chaipunya. Generalized Suzuki Type $\mathcal Z$-Contraction in Complete Metric Spaces. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 419 . http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a7/