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Fuzzy Operator Theory in Mathematical Analysis (Hardcover, 1st ed. 2018)
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Fuzzy Operator Theory in Mathematical Analysis (Hardcover, 1st ed. 2018)
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This self-contained monograph presents an overview of fuzzy
operator theory in mathematical analysis. Concepts, principles,
methods, techniques, and applications of fuzzy operator theory are
unified in this book to provide an introduction to graduate
students and researchers in mathematics, applied sciences, physics,
engineering, optimization, and operations research. New approaches
to fuzzy operator theory and fixed point theory with applications
to fuzzy metric spaces, fuzzy normed spaces, partially ordered
fuzzy metric spaces, fuzzy normed algebras, and non-Archimedean
fuzzy metric spaces are presented. Surveys are provided on: Basic
theory of fuzzy metric and normed spaces and its topology, fuzzy
normed and Banach spaces, linear operators, fundamental theorems
(open mapping and closed graph), applications of contractions and
fixed point theory, approximation theory and best proximity theory,
fuzzy metric type space, topology and applications.
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