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000801472 019__ $$a1008986665
000801472 020__ $$a9783319642772$$q(electronic book)
000801472 020__ $$a3319642774$$q(electronic book)
000801472 020__ $$z9783319642765
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000801472 0247_ $$a10.1007/978-3-319-64277-2$$2doi
000801472 035__ $$aSP(OCoLC)on1008868228
000801472 035__ $$aSP(OCoLC)1008868228$$z(OCoLC)1008986665
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000801472 049__ $$aISEA
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000801472 08204 $$a515.64$$223
000801472 1001_ $$aIoffe, Alexander D.,$$eauthor.
000801472 24510 $$aVariational analysis of regular mappings :$$btheory and applications /$$cAlexander D. Ioffe.
000801472 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2017]
000801472 264_4 $$c©2017
000801472 300__ $$a1 online resource.
000801472 336__ $$atext$$btxt$$2rdacontent
000801472 337__ $$acomputer$$bc$$2rdamedia
000801472 338__ $$aonline resource$$bcr$$2rdacarrier
000801472 347__ $$atext file$$bPDF$$2rda
000801472 4901_ $$aSpringer monographs in mathematics
000801472 504__ $$aIncludes bibliographical references and index.
000801472 5050_ $$a1. The Classical Theory -- 2. Metric Theory: Phenomenology -- 3. Metric Theory: The Infinitesimal Viewpoint -- 4. Subdifferentials: A Short Introduction -- 5. Banach Space Theory: Regularity Criteria -- 6. Banach Space Theory: Special Classes of Mappings -- 7. Applications to Analysis and Optimization 1 -- 8. Regularity in Finite-Dimensional Spaces -- 9. Applications to Analysis and Optimization 2.
000801472 506__ $$aAccess limited to authorized users.
000801472 520__ $$aThis monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory. The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear functional analysis and global analysis centered around problems of existence and stability of solutions of nonlinear equations. In variational analysis, regularity theory goes far beyond the classical setting and is also concerned with non-differentiable and multi-valued operators. The present volume explores all basic aspects of the theory, from the most general problems for mappings between metric spaces to those connected with fairly concrete and important classes of operators acting in Banach and finite dimensional spaces. Written by a leading expert in the field, the book covers new and powerful techniques, which have proven to be highly efficient even in classical settings, and outlines the theory’s predominantly quantitative character, leading to a variety of new and unexpected applications. Variational Analysis of Regular Mappings is aimed at graduate students and researchers in nonlinear and functional analysis, especially those working in areas close to optimization and optimal control, and will be suitable to anyone interested in applying new concepts and ideas to operations research, control engineering and numerical analysis.--$$cProvided by publisher.
000801472 588__ $$aOnline resource; title from PDF title page (viewed November 02, 2017).
000801472 650_0 $$aCalculus of variations.
000801472 650_0 $$aMappings (Mathematics)
000801472 650_0 $$aDifferentiable mappings.
000801472 77608 $$iPrint version:$$z9783319642765$$z3319642766$$w(OCoLC)992747098
000801472 830_0 $$aSpringer monographs in mathematics.
000801472 852__ $$bebk
000801472 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-64277-2$$zOnline Access$$91397441.1
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