LEADER 03437nam 22004815 450 001 9910300128503321 005 20200705025114.0 010 $a3-319-93501-1 024 7 $a10.1007/978-3-319-93501-0 035 $a(CKB)4100000005679134 035 $a(DE-He213)978-3-319-93501-0 035 $a(MiAaPQ)EBC5492986 035 $a(PPN)229919235 035 $a(EXLCZ)994100000005679134 100 $a20180812d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFuzzy Operator Theory in Mathematical Analysis /$fby Yeol Je Cho, Themistocles M. Rassias, Reza Saadati 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XIII, 410 p.) 311 $a3-319-93499-6 327 $a1. Preliminaries -- 2. Fuzzy normed spaces and fuzzy metric spaces -- 3. Further properties of fuzzy Banach spaces -- 4. Fundamental theorems in fuzzy normed spaces -- 5. Fixed point theorems in fuzzy metric spaces -- 6. Generalized distances and fixed point theorems in fuzzy metric spaces -- 7. Fixed point theorems in partially ordered fuzzy metric spaces -- 8. Fixed point theorems in fuzzy normed spaces -- 9. Approximation theory in fuzzy metric spaces -- 10. Topologies and fixed points in fuzzy metric-type spaces -- 11. Operator theory and fixed points in fuzzy normed algebras and applications -- 12. Fixed points in non-Archimedean fuzzy metric spaces -- 13. Coincidence points for set-valued mappings in fuzzy metric spaces. 330 $aThis 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. 606 $aOperator theory 606 $aFunctional analysis 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aOperator theory. 615 0$aFunctional analysis. 615 14$aOperator Theory. 615 24$aFunctional Analysis. 676 $a515.724 700 $aCho$b Yeol Je$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768253 702 $aRassias$b Themistocles M$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSaadati$b Reza$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300128503321 996 $aFuzzy Operator Theory in Mathematical Analysis$91984173 997 $aUNINA