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Extensions of Banach's Contraction Principle
Numerical Functional Analysis and Optimization, 2010Let A and B be nonempty subsets of a metric space. As a non-self mapping T: A → B does not necessarily have a fixed point, it is of considerable interest to find an element x that is as close to Tx as possible. In other words, if the fixed point equation Tx = x has no exact solution, then it is contemplated to find an approximate solution x such that ...
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Extension Principle and Fuzzy Numbers
2009In the traditional multi-attribute decision analysis, there is a well-defined problem-solving model–the Simple Additive Weighting (SAW) method. This model can be formulated as follows. Let A1, A2, ..., A n be n alternatives and C1,C2, ..., C m m attributes with the corresponding weights w1, w2, ..., w m respectively.
Xuzhu Wang, Da Ruan, Etienne E. Kerre
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Sandwich theorems, extension principles and amenability
1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BOCCUTO, Antonio, CANDELORO, Domenico
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Extension principle in fuzzy optimization
Fuzzy Sets and Systems, 1986zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Extension Principle and fuzzy number functions
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juscelino Araújo +2 more
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The Extension Principle and Applications
1985One of the most basic concepts of fuzzy set theory that can be used to generalize crisp mathematical concepts to fuzzy sets is the extension principle. In its elementary form, it was already implied in Zadeh’s first contribution [1965]. In the meantime, modifications have been suggested [Zadeh 1973a; Zadeh et al. 1975; Jain 1976].
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Wavelet Frames via Extension Principles
2003Frame multiresolution analysis is just one way to construct wavelet frames via multiscale techniques. We already mentioned in Section 13.3 that the conditions can be weakened further, and the purpose of this chapter is to show how one can still construct frames.
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