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Strict Convexity And Complex Strict Convexity

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Strict Convexity And Complex Strict Convexity

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Author : Istratescu
language : en
Publisher: Routledge
Release Date : 2017-10-19

Strict Convexity And Complex Strict Convexity written by Istratescu and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Mathematics categories.

This important work provides a comprehensive overview of the properties of Banachspaces related to strict convexity and a survey of significant applications-uniting a wealthof information previously scattered throughout the mathematical literature in a well-organized,accessible format.After introducing the subject through a discussion of the basic results of linear functionalanalysis, this unique book proceeds to investigate the characteristics of strictly convexspaces and related classes, including uniformly convex spaces, and examine important applicationsregarding approximation theory and fixed point theory. Following this extensivetreatment, the book discusses complex strictly convex spaces and related spaces- alsowith applications. Complete, clearly elucidated proofs accompany results throughout thebook, and ample references are provided to aid further research of the subject.Strict Convexity and Complex Strict Convexity is essential fot mathematicians and studentsinterested in geometric theory of Banach spaces and applications to approximationtheory and fixed point theory, and is of great value to engineers working in optimizationstudies. In addition, this volume serves as an excellent text for a graduate course inGeometric Theory of Banach Spaces.

Strict Convexity And Complex Strict Convexity

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Author : Istratescu
language : en
Publisher:
Release Date : 2017

Strict Convexity And Complex Strict Convexity written by Istratescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.

"This important work provides a comprehensive overview of the properties of Banachspaces related to strict convexity and a survey of significant applications-uniting a wealthof information previously scattered throughout the mathematical literature in a well-organized, accessible format. After introducing the subject through a discussion of the basic results of linear functionalanalysis, this unique book proceeds to investigate the characteristics of strictly convexspaces and related classes, including uniformly convex spaces, and examine important applicationsregarding approximation theory and fixed point theory. Following this extensivetreatment, the book discusses complex strictly convex spaces and related spaces- alsowith applications. Complete, clearly elucidated proofs accompany results throughout thebook, and ample references are provided to aid further research of the subject. Strict Convexity and Complex Strict Convexity is essential fot mathematicians and studentsinterested in geometric theory of Banach spaces and applications to approximationtheory and fixed point theory, and is of great value to engineers working in optimizationstudies. In addition, this volume serves as an excellent text for a graduate course inGeometric Theory of Banach Spaces."--Provided by publisher.

Strict Convexity And Complex Strict Convexity

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Author : Istratescu
language : en
Publisher: CRC Press
Release Date : 2017-07-27

Strict Convexity And Complex Strict Convexity written by Istratescu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-27 with categories.

This important work provides a comprehensive overview of the properties of Banachspaces related to strict convexity and a survey of significant applications-uniting a wealthof information previously scattered throughout the mathematical literature in a well-organized, accessible format.After introducing the subject through a discussion of the basic results of linear functionalanalysis, this unique book proceeds to investigate the characteristics of strictly convexspaces and related classes, including uniformly convex spaces, and examine important applicationsregarding approximation theory and fixed point theory. Following this extensivetreatment, the book discusses complex strictly convex spaces and related spaces- alsowith applications. Complete, clearly elucidated proofs accompany results throughout thebook, and ample references are provided to aid further research of the subject.Strict Convexity and Complex Strict Convexity is essential fot mathematicians and studentsinterested in geometric theory of Banach spaces and applications to approximationtheory and fixed point theory, and is of great value to engineers working in optimizationstudies. In addition, this volume serves as an excellent text for a graduate course inGeometric Theory of Banach Spaces

Strict Convexity And Complex Strict Convexity

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Author : Vasile I. Istratescu
language : en
Publisher: Routledge
Release Date : 2017-10-19

Strict Convexity And Complex Strict Convexity written by Vasile I. Istratescu and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Mathematics categories.

Totally Convex Functions For Fixed Points Computation And Infinite Dimensional Optimization

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Author : D. Butnariu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Totally Convex Functions For Fixed Points Computation And Infinite Dimensional Optimization written by D. Butnariu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The aim of this work is to present in a unified approach a series of results concerning totally convex functions on Banach spaces and their applications to building iterative algorithms for computing common fixed points of mea surable families of operators and optimization methods in infinite dimen sional settings. The notion of totally convex function was first studied by Butnariu, Censor and Reich [31] in the context of the space lRR because of its usefulness for establishing convergence of a Bregman projection method for finding common points of infinite families of closed convex sets. In this finite dimensional environment total convexity hardly differs from strict convexity. In fact, a function with closed domain in a finite dimensional Banach space is totally convex if and only if it is strictly convex. The relevancy of total convexity as a strengthened form of strict convexity becomes apparent when the Banach space on which the function is defined is infinite dimensional. In this case, total convexity is a property stronger than strict convexity but weaker than locally uniform convexity (see Section 1.3 below). The study of totally convex functions in infinite dimensional Banach spaces was started in [33] where it was shown that they are useful tools for extrapolating properties commonly known to belong to operators satisfying demanding contractivity requirements to classes of operators which are not even mildly nonexpansive.

Complex Strict And Uniform Convexity And Hyponormaloperators

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Author : Kirsti Mattila
language : en
Publisher:
Release Date : 1983

Complex Strict And Uniform Convexity And Hyponormaloperators written by Kirsti Mattila and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.

Strict Convexity In Locally Convex Spaces And Fixed Point Theorems In Generalized Hilbert Spaces

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Author : Ed Wilburn Huffman
language : en
Publisher:
Release Date : 1977

Strict Convexity In Locally Convex Spaces And Fixed Point Theorems In Generalized Hilbert Spaces written by Ed Wilburn Huffman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.

Theory Of Strict Convexity Best Approximation And Fixed Points

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Author : Meenu Sharma
language : en
Publisher: PartridgeIndia
Release Date : 2015-10-16

Theory Of Strict Convexity Best Approximation And Fixed Points written by Meenu Sharma and has been published by PartridgeIndia this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-16 with Mathematics categories.

The present book is a study of strictly convex linear metric spaces and some results on approximation and fixed points in metric linear spaces and metric spaces. In this introductory chapter, we give a brief historical background of the subject (strict convexity and approximation theory applications of fixed point theorems to approximation theory) and a chapterwise summary of the results contained in this book.

Convex Analysis

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Author : Source Wikipedia
language : en
Publisher: University-Press.org
Release Date : 2013-09

Convex Analysis written by Source Wikipedia and has been published by University-Press.org this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09 with categories.

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 32. Chapters: Bipolar theorem, Characteristic function (convex analysis), Closed convex function, Complex convexity, Concave function, Convex cone, Convex conjugate, Convex hull, Convex optimization, Convex set, Danskin's theorem, Dieudonne's theorem, Dual cone and polar cone, Effective domain, Ekeland's variational principle, Epigraph (mathematics), Farkas' lemma, Fenchel's duality theorem, Fenchel-Moreau theorem, Gauss-Lucas theorem, Hilbert projection theorem, Hypograph (mathematics), Invex function, Kachurovskii's theorem, Karamata's inequality, Legendre transformation, Linear separability, Logarithmically concave function, Minkowski's theorem, Minkowski functional, Modulus and characteristic of convexity, Moreau's theorem, Polyconvex function, Popoviciu's inequality, Proper convex function, Pseudoconvex function, Pseudolinear function, Quasiconvex function, R. Tyrrell Rockafellar, Recession cone, Schur-convex function, Shephard's problem, Strictly convex space, Subderivative, Tonelli's theorem (functional analysis), Uniformly convex space.

Convexity From The Geometric Point Of View

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Author : Vitor Balestro
language : en
Publisher: Springer Nature
Release Date :

Convexity From The Geometric Point Of View written by Vitor Balestro and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Strict Convexity And Complex Strict Convexity

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