LEADER 03097nam 22007695 450 001 9910767538903321 005 20250411004648.0 010 $a3-030-91654-5 024 7 $a10.1007/978-3-030-91654-1 035 $a(MiAaPQ)EBC6897009 035 $a(Au-PeEL)EBL6897009 035 $a(CKB)21325691500041 035 $a(PPN)260827428 035 $a(DE-He213)978-3-030-91654-1 035 $a(EXLCZ)9921325691500041 100 $a20220224d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Krasnosel'ski?-Mann Iterative Method $eRecent Progress and Applications /$fby Qiao-Li Dong, Yeol Je Cho, Songnian He, Panos M. Pardalos, Themistocles M. Rassias 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (128 pages) 225 1 $aSpringerBriefs in Optimization,$x2191-575X 311 08$aPrint version: Dong, Qiao-Li The Krasnosel'ski?-Mann Iterative Method Cham : Springer International Publishing AG,c2022 9783030916534 320 $aIncludes bibliographical references and index. 327 $a1. Introduction -- 2. Notation and Mathematical Foundations.-3. The Krasnoselskii-Mann Iteration -- 4. Relations of the Krasnosel'skii-Mann Iteration and the Operator Splitting Methods -- 5. The Inertial Krasnoselskii-Mann Iteration -- 6. The Multi-step Inertial Krasnoselskii-Mann Iteration -- 7. Relaxation Parameters of the Krasnoselskii-Mann Iteration -- 8. Two Applications. 330 $aThis brief explores the Krasnosel'ski?-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods. . 410 0$aSpringerBriefs in Optimization,$x2191-575X 606 $aApproximation theory 606 $aFunctions of real variables 606 $aMeasure theory 606 $aDifference equations 606 $aFunctional equations 606 $aOperator theory 606 $aMathematical optimization 606 $aApproximations and Expansions 606 $aReal Functions 606 $aMeasure and Integration 606 $aDifference and Functional Equations 606 $aOperator Theory 606 $aOptimization 615 0$aApproximation theory. 615 0$aFunctions of real variables. 615 0$aMeasure theory. 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aOperator theory. 615 0$aMathematical optimization. 615 14$aApproximations and Expansions. 615 24$aReal Functions. 615 24$aMeasure and Integration. 615 24$aDifference and Functional Equations. 615 24$aOperator Theory. 615 24$aOptimization. 676 $a518.26 676 $a518.26 700 $aDong$b Qiao-Li$01208955 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910767538903321 996 $aThe Krasnosel'skii?-Mann iterative method$92920176 997 $aUNINA