Abstract
| Lingua originale | English |
|---|---|
| pagine (da-a) | 685-696 |
| Numero di pagine | 12 |
| Rivista | Journal of Nonlinear and Convex Analysis |
| Volume | 16 |
| Stato di pubblicazione | Published - 2015 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
- Control and Optimization
- Geometry and Topology
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Fixed point theorems for α-set-valued quasi-contractions in b-metric spaces. / Paesano, D.
In: Journal of Nonlinear and Convex Analysis, Vol. 16, 2015, pag. 685-696.Risultato della ricerca: Article
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TY - JOUR
T1 - Fixed point theorems for α-set-valued quasi-contractions in b-metric spaces
AU - Paesano, D
AU - Vetro, Pasquale
PY - 2015
Y1 - 2015
N2 - Recently, Samet et al. [B. Samet, C. Vetro and P. Vetro, Fixed point theorems for alpha-psi-contractive type mappings, Nonlinear Anal., 75 (2012), 2154-2165] introduced the notion of alpha-psi-contractive mappings and established some fixed point results in the setting of complete metric spaces. In this paper, we introduce the notions of alpha-set-valued contraction and alpha-set-valued quasi-contraction and we give some fixed point theorems for such classes of mappings in the setting of b-metric spaces and ordered b-metric spaces. The presented theorems extend, unify and generalize several well-known comparable results in the existing literature.
AB - Recently, Samet et al. [B. Samet, C. Vetro and P. Vetro, Fixed point theorems for alpha-psi-contractive type mappings, Nonlinear Anal., 75 (2012), 2154-2165] introduced the notion of alpha-psi-contractive mappings and established some fixed point results in the setting of complete metric spaces. In this paper, we introduce the notions of alpha-set-valued contraction and alpha-set-valued quasi-contraction and we give some fixed point theorems for such classes of mappings in the setting of b-metric spaces and ordered b-metric spaces. The presented theorems extend, unify and generalize several well-known comparable results in the existing literature.
UR - http://hdl.handle.net/10447/203060
UR - http://www.ybook.co.jp/jnca.html
M3 - Article
VL - 16
SP - 685
EP - 696
JO - Journal of Nonlinear and Convex Analysis
JF - Journal of Nonlinear and Convex Analysis
SN - 1345-4773
ER -