6533b85dfe1ef96bd12bdfb0

RESEARCH PRODUCT

On fixed points for a–n–f-contractive multi-valued mappings in partial metric spaces

Vincenzo La RosaPasquale Vetro

subject

Discrete mathematicsMetric spacePartial metric spaceSettore MAT/05 - Analisi MatematicaApplied Mathematicsαӿ-admissible pair with respect to a function ηFixed pointFixed pointα-η-ψ-contractive conditionCommon fixed pointMulti valuedAnalysisMathematics

description

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.

https://doi.org/10.15388/na.2015.3.5