01576nam0 2200337 i 450 SUN012406220201009093842.4430.00N978-3-319-65370-920191007d2017 |0engc50 baengCH|||| |||||*Heritage and Archaeology in the Digital AgeAcquisition, Curation, and Dissemination of Spatial Cultural Heritage DataMatthew L. Vincent ... [et al.] editorsCham : Springer, 2017xviii198 p.ill. ; 24 cmPubblicazione in formato elettronico001SUN01032662001 *Quantitative methods in the humanities and social sciences210 BerlinSpringer2014-.01-XXHistory and biography [MSC 2020]MFSUNC02146962R07Statistical aspects of big data and data science [MSC 2020]MFSUNC02651401A07Ethnomathematics, general [MSC 2020]MFSUNC02708868T09Computational aspects of data analysis and big data [MSC 2020]MFSUNC035916CHChamSUNL001889Vincent, Matthew L.SUNV095537SpringerSUNV000178650ITSOL20210503RICAhttp://doi.org/10.1007/978-3-319-65370-9SUN0124062UFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08CONS e-book 0713 08eMF713 20191007 Heritage and Archaeology in the Digital Age1562494UNICAMPANIA04220nam 22007695 450 991044726010332120251113194143.03-030-44723-510.1007/978-3-030-44723-6(CKB)4100000011321170(MiAaPQ)EBC6511720(Au-PeEL)EBL6511720(OCoLC)1162846016(PPN)248596055(MiAaPQ)EBC6240749(MiAaPQ)EBC6240793(MiAaPQ)EBC29090607(DE-He213)978-3-030-44723-6(EXLCZ)99410000001132117020200628d2020 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierScalarization and Separation by Translation Invariant Functions with Applications in Optimization, Nonlinear Functional Analysis, and Mathematical Economics /by Christiane Tammer, Petra Weidner1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (703 pages) illustrationsVector Optimization,1867-898X3-030-44721-9 Introduction -- Sets and Binary Relations -- Extended Real-Valued Functions -- Translation Invariant Functions -- Minimizers of Translation Invariant Functions -- Vector Optimization in General Spaces -- Multiobjective Optimization -- Variational Analysis -- Special Cases and Functionals Related to φA,k -- Set-Valued Optimization Problems -- Vector Optimization With Variable Domination Structures -- Variational Methods in Topological Vector Spaces -- Algorithms for the Solution of Optimization Problems -- Optimization Under Uncertainty -- Further Applications. .Like norms, translation invariant functions are a natural and powerful tool for the separation of sets and scalarization. This book provides an extensive foundation for their application. It presents in a unified way new results as well as results which are scattered throughout the literature. The functions are defined on linear spaces and can be applied to nonconvex problems. Fundamental theorems for the function class are proved, with implications for arbitrary extended real-valued functions. The scope of applications is illustrated by chapters related to vector optimization, set-valued optimization, and optimization under uncertainty, by fundamental statements in nonlinear functional analysis and by examples from mathematical finance as well as from consumer and production theory. The book is written for students and researchers in mathematics and mathematical economics. Engineers and researchers from other disciplines can benefit from the applications, for example from scalarization methods for multiobjective optimization and optimal control problems.Vector Optimization,1867-898XOperations researchMathematical optimizationEconometricsCalculus of variationsSocial sciencesMathematicsOperations Research and Decision TheoryOptimizationQuantitative EconomicsCalculus of Variations and OptimizationContinuous OptimizationMathematics in Business, Economics and FinanceOperations research.Mathematical optimization.Econometrics.Calculus of variations.Social sciencesMathematics.Operations Research and Decision Theory.Optimization.Quantitative Economics.Calculus of Variations and Optimization.Continuous Optimization.Mathematics in Business, Economics and Finance.515.63515.63Tammer Christiane738596Weidner PetraMiAaPQMiAaPQMiAaPQBOOK9910447260103321Scalarization and separation by translation invariant functions1901520UNINA