Home : Book details

Convex and Set-Valued Analysis (De Gruyter Textbook) free ebook download

Category:
Mathematics

Views: 402
Likes: 5

Catalogue

Author(s):	Aram V. Arutyunov

Date:	2024	Format:	epub	Language:	English	ISBN/ASIN:	3110460289
Pages:	210	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	10/10/2023 5:12:36 AM

To download click on link in the Links Table below

Description: Click to see full description

This textbook is devoted to a compressed and self-contained exposition of two important parts of contemporary mathematics: convex and set-valued analysis. In the first part, properties of convex sets, the theory of separation, convex functions and their differentiability, properties of convex cones in finite- and infinite-dimensional spaces are discussed. The second part covers some important parts of set-valued analysis. There the properties of the Hausdorff metric and various continuity concepts of set-valued maps are considered. The great attention is paid also to measurable set-valued functions, continuous, Lipschitz and some special types of selections, fixed point and coincidence theorems, covering set-valued maps, topological degree theory and differential inclusions. Contents:PrefacePart I: Convex analysisConvex sets and their propertiesThe convex hull of a set. The interior of convex setsThe affine hull of sets. The relative interior of convex setsSeparation theorems for convex setsConvex functionsClosedness, boundedness, continuity, and Lipschitz property of convex functionsConjugate functionsSupport functionsDifferentiability of convex functions and the subdifferentialConvex conesA little more about convex cones in infinite-dimensional spacesA problem of linear programmingMore about convex sets and convex hullsPart II: Set-valued analysisIntroduction to the theory of topological and metric spacesThe Hausdorff metric and the distance between setsSome fine properties of the Hausdorff metricSet-valued maps. Upper semicontinuous and lower semicontinuous set-valued mapsA base of topology of the spaceHc(X)Measurable set-valued maps. Measurable selections and measurable choice theoremsThe superposition set-valued operatorThe Michael theorem and continuous selections. Lipschitz selections. Single-valued approximationsSpecial selections of set-valued mapsDifferential inclusionsFixed points and coincidences of maps in metric spacesStability of coincidence points and properties of covering mapsTopological degree and fixed points of set-valued maps in Banach spacesExistence results for differential inclusions via the fixed point methodNotationBibliographyIndex
Read more

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3205837	Book	https://rapidgator.net/file/220ca4fa808e...		0.00	maveriks

Tags: Analysis Convex Gruyter Set-Valued Textbook

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:

Comments

New comment:

Convex and Set-Valued Analysis (De Gruyter Textbook) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics