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Coupled fixed point theorems for contractions in fuzzy metric spaces

✍ Scribed by Shaban Sedghi; Ishak Altun; Nabi Shobe

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
424 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis

In the present work, we prove a coupled fixed point theorem for contractive mappings in complete fuzzy metric spaces.

πŸ“œ SIMILAR VOLUMES

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Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
✍ V. Lakshmikantham; Ljubomir Δ†iriΔ‡ πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 526 KB

We introduce the concept of a mixed g-monotone mapping and prove coupled coincidence and coupled common fixed point theorems for such nonlinear contractive mappings in partially ordered complete metric spaces. Presented theorems are generalizations of the recent fixed point theorems due to Bhaskar a

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✍ Erdal KarapΔ±nar πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 388 KB

The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham ( 2006) in [13]. In this manuscript, some results of Lakshmikantham and Ćirić (2009) in [5] are extended to the class of cone metric spaces.