Recently, Samet et al. introduced the notion of α-ψ-contractive type mappings and established some fixed point theorems in complete metric spaces. Successively, Asl et al. introduced the notion of αӿ-ψ-contractive multi-valued mappings and gave a fixed point result for these multivalued mappings. In this paper, we establish results of fixed point for αӿ-admissible mixed multivalued mappings with respect to a function η and common fixed point for a pair (S; T) of mixed multi-valued mappings, that is, αӿ-admissible with respect to a function η in partial metric spaces. An example is given to illustrate our result.

La Rosa, V., Vetro, P. (2015). On fixed points for α-η-ψ-contractive multi-valued mappings in partial metric spaces. NONLINEAR ANALYSIS, 20(3), 377-394 [10.15388/NA.2015.3.5].

On fixed points for α-η-ψ-contractive multi-valued mappings in partial metric spaces

LA ROSA, Vincenzo;VETRO, Pasquale
2015-01-01

Abstract

Recently, Samet et al. introduced the notion of α-ψ-contractive type mappings and established some fixed point theorems in complete metric spaces. Successively, Asl et al. introduced the notion of αӿ-ψ-contractive multi-valued mappings and gave a fixed point result for these multivalued mappings. In this paper, we establish results of fixed point for αӿ-admissible mixed multivalued mappings with respect to a function η and common fixed point for a pair (S; T) of mixed multi-valued mappings, that is, αӿ-admissible with respect to a function η in partial metric spaces. An example is given to illustrate our result.
2015
Settore MAT/05 - Analisi Matematica
La Rosa, V., Vetro, P. (2015). On fixed points for α-η-ψ-contractive multi-valued mappings in partial metric spaces. NONLINEAR ANALYSIS, 20(3), 377-394 [10.15388/NA.2015.3.5].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/203020
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