Approximate Fixed Point Theorems in Fuzzy Norm Spaces for an Operator

Approximate Fixed Point Theorems in Fuzzy Norm Spaces for an Operator

We define approximate fixed point and fuzzy diameter in fuzzy norm spaces. We prove theorems for various types of well-known generalized contractions on fuzzy norm spaces with the use of two general lemmas that are given regarding approximate fixed points of operators on fuzzy norm spaces.

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Veröffentlicht in:Advances in Fuzzy Systems 2013-01, Vol.2013 (2013), p.224-231
Hauptverfasser: Mohsenalhosseini, S. A. M., Mazaheri, H.
Format: Artikel
Sprache:eng
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Zusammenfassung:We define approximate fixed point and fuzzy diameter in fuzzy norm spaces. We prove theorems for various types of well-known generalized contractions on fuzzy norm spaces with the use of two general lemmas that are given regarding approximate fixed points of operators on fuzzy norm spaces.
ISSN:1687-7101
1687-711X
DOI:10.1155/2013/613604