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Fixed Points for Weakα-ψ-Contractions in Partial Metric Spaces
Author(s) -
Poom Kumam,
Calogero Vetro,
Francesca Vetro
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/986028
Subject(s) - metric space , metric (unit) , algorithm , mathematics , computer science , class (philosophy) , discrete mathematics , artificial intelligence , operations management , economics
Recently, Samet et al. (2012) introduced the notion of α-ψ-contractive mappings and established some fixed point results in the setting of complete metric spaces. In this paper, we introduce the notion of weak α-ψ-contractive mappings and give fixed point results for this class of mappings in the setting of partial metric spaces. Also, we deduce fixed point results in ordered partial metric spaces. Our results extend and generalize the results of Samet et al

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