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010   $a9783031126444$b(electronic bk.)
010   $z9783031126437
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100   $a20230226d2022      uy             0
101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aOptimization in Banach spaces /$fAlexander J. Zaslavski
210  1$aCham, Switzerland :$cSpringer,$d[2022]
210  4$d©2022
215   $a1 online resource (132 pages)
225 1 $aSpringerBriefs in Optimization 
311 08$aPrint version: Zaslavski, Alexander J. Optimization in Banach Spaces Cham : Springer International Publishing AG,c2022 9783031126437 
320   $aIncludes bibliographical references and index.
327   $aIntro -- Preface -- 1 Introduction -- 1.1 Notation -- 1.2 Constrained Optimization -- 1.3 Unconstrained Optimization -- 1.4 An Auxiliary Result -- 1.5 Proof of Theorem 1.1 -- 2 Convex Optimization -- 2.1 Preliminaries -- 2.2 A basic Lemma -- 2.3 Convergence Results -- 2.4 Proof of Theorem 2.2 -- 2.5 Proof of Theorem 2.3 -- 2.6 Proof of Theorem 2.4 -- 2.7 Proof of Theorem 2.5 -- 2.8 Proof of Theorem 2.6 -- 2.9 Proof of Theorem 2.7 -- 2.10 Proof of Theorem 2.8 -- 2.11 Proof of Theorem 2.9 -- 2.12 Proof of Theorem 2.10 -- 2.13 A Convergence Result with Estimations -- 2.14 An Auxiliary Result -- 2.15 Proof of Theorem 2.11 -- 3 Nonconvex Optimization -- 3.1 Preliminaries -- 3.2 Auxiliary Results -- 3.3 Convergence Results -- 3.4 Proofs of Theorems 3.5-3.9 -- 3.5 Proofs of Theorems 3.10-3.14 -- 3.6 Proof of Theorem 3.15 -- 3.7 A Convergence Result with Estimations -- 3.8 An Auxiliary Result -- 3.9 Proofs of Theorems 3.16 and 3.17 -- 4 Continuous Algorithms -- 4.1 Banach Space Valued Functions -- 4.2 Convex Problems -- 4.3 Proof of Theorem 4.5 -- 4.4 Proof of Theorem 4.6 -- 4.5 Proof of Theorem 4.7 -- 4.6 The First Convergence Result with Estimations -- 4.7 Nonconvex Optimization -- 4.8 Convergence Results -- 4.9 Proof of Theorem 4.11 -- 4.10 Proofs of Theorems 4.12 and 4.14 -- 4.11 Proof of Theorem 4.15 -- 4.12 Proof of Theorem 4.17 -- 4.13 The Second Convergence Result with Estimations -- References.
410  0$aSpringerBriefs in Optimization 
606   $aBanach spaces
606   $aMathematical optimization
606   $aOptimització matemàtica$2thub
606   $aEspais de Banach$2thub
608   $aLlibres electrònics$2thub
615  0$aBanach spaces.
615  0$aMathematical optimization.
615  7$aOptimització matemàtica
615  7$aEspais de Banach
676   $a515.732
700   $aZaslavski$b Alexander J.$0721713
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a996490344803316
996   $aOptimization in Banach Spaces$92920192
997   $aUNISA