Abstract
AbstractIn the present paper we provide two different kinds of fixed point theorems on ordered nonArchimedean fuzzy metric spaces. First, two fixed point theorems are proved for fuzzy order "Equation missing"-contractive type mappings. Then a common fixed point theorem is given for noncontractive type mappings. Kirk's problem on an extension of Caristi's theorem is also discussed.
Highlights
Introduction and PreliminariesAfter the definition of the concept of fuzzy metric space by some authors 1–3, the fixed point theory on these spaces has been developing see, e.g., 4–9
In the present paper we provide two different kinds of fixed point theorems on ordered nonArchimedean fuzzy metric spaces
In this paper we introduce the concept of fuzzy order ψ-contractive mappings and give two fixed point theorems on ordered non-Archimedean fuzzy metric spaces for fuzzy order ψ-contractive type mappings
Summary
Introduction and PreliminariesAfter the definition of the concept of fuzzy metric space by some authors 1–3 , the fixed point theory on these spaces has been developing see, e.g., 4–9. Two fixed point theorems are proved for fuzzy order ψ-contractive type mappings.
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