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 
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/
@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 },
     year = {2018},
     volume = {42},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a7/}
}
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