Approximate Fixed Point Theorems in Fuzzy Norm Spaces for an Operator
Author(s) -
S. A. M. Mohsenalhosseini,
H. Mazaheri
Publication year - 2013
Publication title -
advances in fuzzy systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.38
H-Index - 19
eISSN - 1687-711X
pISSN - 1687-7101
DOI - 10.1155/2013/613604
Subject(s) - mathematics , fuzzy logic , norm (philosophy) , fixed point , operator norm , t norm , pure mathematics , operator (biology) , fixed point theorem , fuzzy number , discrete mathematics , fuzzy set , mathematical analysis , hilbert space , computer science , biochemistry , chemistry , repressor , artificial intelligence , political science , law , transcription factor , gene
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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