"Fixed Point Theorems for '?, ?'Contractive maps in Weak nonArchimedean Fuzzy Metric Spaces and Application"
Author(s) -
Vizender Sihag,
Ramesh Kumar Vats,
Calogero Vetro
Publication year - 2011
Publication title -
international journal of computer applications
Language(s) - English
Resource type - Journals
ISSN - 0975-8887
DOI - 10.5120/3275-4454
Subject(s) - computer science , metric (unit) , metric space , fuzzy logic , point (geometry) , fixed point , discrete mathematics , mathematics , artificial intelligence , mathematical analysis , operations management , geometry , economics
The present study introduce the notion of (ψ, ϕ)-Contractive maps in weak non-Archimedean fuzzy metric spaces to derive a common fixed point theorem which complements and extends the main theorems of [C.Vetro, Fixed points in weak non-Archimedean fuzzy metric spaces, Fuzzy Sets and System, 162 (2011), 84-90] and [D.Mihet, Fuzzy ψ-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and System, 159 (2008) 739-744]. We support our result by establishing an application to product spaces
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