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Titlebook: Genericity in Nonlinear Analysis; Simeon Reich,Alexander J. Zaslavski Book 2014 Springer Science+Business Media New York 2014 Aubrey-Mathe

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发表于 2025-3-21 17:46:09 | 显示全部楼层 |阅读模式
书目名称Genericity in Nonlinear Analysis
编辑Simeon Reich,Alexander J. Zaslavski
视频video
概述Comprehensive treatment of generic nonlinear analysis methodology and its use in solving general classes of interesting and important problems.May be used as supplementary text in graduate courses in
丛书名称Developments in Mathematics
图书封面Titlebook: Genericity in Nonlinear Analysis;  Simeon Reich,Alexander J. Zaslavski Book 2014 Springer Science+Business Media New York 2014 Aubrey-Mathe
描述.This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and in the mathematical sciences..Each chapter is self-contained; proofs are solid and carefully communicated. .Genericity in Nonlinear Analysis. is the first book to systematically present the generic approach to nonlinear analysis. Topics presented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods for minimization in a general Banach spa
出版日期Book 2014
关键词Aubrey-Mather theory; contractive mappings; genericity; nonlinear functional analysis; operator theory; o
版次1
doihttps://doi.org/10.1007/978-1-4614-9533-8
isbn_softcover978-1-4939-4858-1
isbn_ebook978-1-4614-9533-8Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightSpringer Science+Business Media New York 2014
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发表于 2025-3-21 21:11:09 | 显示全部楼层
Minimal Configurations in the Aubry-Mather Theory,imal heteroclinic connections having the same rotation number ./.. We consider a complete metric space of energy functions . equipped with a certain . . topology and show that for most energy functions in this space, there exist three different .-minimal configurations with rotation number ./. such
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https://doi.org/10.1007/b105288 with respect to Bregman distances there exists a subset which is a countable intersection of open and everywhere dense sets such that for any operator belonging to this subset, all its orbits converge strongly.
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Book 2014 nonlinear analysis. Topics presented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods for minimization in a general Banach spa
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Neil Hannan B.Ec, LLB (Monash) Ph.D (UWA)equence of values of the Lyapunov uniformly continuous function . along any (unrestricted) trajectory of such an element tends to the infimum of . on .. We establish a convergence result for perturbations of such trajectories. We then show that if . is Lipschitzian, then the complement of the set of normal sequences is .-porous.
发表于 2025-3-23 08:55:29 | 显示全部楼层
https://doi.org/10.1057/9781137404411and convex subset of a Banach space with a nonempty interior, and show that a generic mapping in this space has a fixed point. We then prove analogous results for two complete metric spaces of set-valued mappings with convex graphs. We also introduce the notion of a contractive set-valued mapping and study the asymptotic behavior of its iterates.
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