Author: Charles Bryan PowersPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 16
Book Description
An upper semi-continuous simple graph as the pointwise limit of a sequence of continuous simple graphs
Author: Charles Bryan PowersPublisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 16
Book Description
Some Characterizations of a Simple Graph which is the Pointwise Limit of a Sequence of Continuous Simple Graphs
Author: Wayne E. SchulzPublisher:
ISBN:
Category : Continuity
Languages : en
Pages : 90
Book Description
Two properties of upper semi-continuous simple graphs
Author: Jon Philip ChildressPublisher:
ISBN:
Category : Functions of real variables
Languages : en
Pages : 28
Book Description
Topologies on Closed and Closed Convex Sets
Author: Gerald BeerPublisher: Springer Science & Business Media
ISBN: 9780792325314
Category : Mathematics
Languages : en
Pages : 360
Book Description
This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergence on the one hand, and set functionals on the other. The text includes for the first time anywhere an exposition of three topologies that over the past ten years have become fundamental tools in optimization, one-sided analysis, convex analysis, and the theory of multifunctions: the Wijsman topology, the Attouch--Wets topology, and the slice topology. Particular attention is given to topologies on lower semicontinuous functions, especially lower semicontinuous convex functions, as associated with their epigraphs. The interplay between convex duality and topology is carefully considered and a chapter on set-valued functions is included. The book contains over 350 exercises and is suitable as a graduate text. This book is of interest to those working in general topology, set-valued analysis, geometric functional analysis, optimization, convex analysis and mathematical economics.
A theorem on upper semicontinuous simple graphs
Author: Martin Dayss SeckerPublisher:
ISBN:
Category : Functions of real variables
Languages : en
Pages : 12
Book Description
Concerning pointwise convergence of a sequence of continuous graphs
Author: Louis Hunt LightseyPublisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 26
Book Description
Equal Degree Graphs of Simple Graphs
Author: T.ChalapathiPublisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
Book Description
This paper introduces equal degree graphs of simple existed graphs. These graphs exhibited some properties which are co-related with the older one. We characterize graphs for which their equal degree graphs are connected, completed, disconnected but not totally disconnected. We also obtain several properties of equal degree graphs and specify which graphs are isomorphic to equal degree graphs and complement of equal degree graphs. Furthermore, the relation between equal degree graphs and degree Prime graphs is determined.
Variational Analysis
Author: R. Tyrrell RockafellarPublisher: Springer Science & Business Media
ISBN: 3642024319
Category : Mathematics
Languages : en
Pages : 747
Book Description
From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.
Real Analysis (Classic Version)
Author: Halsey RoydenPublisher: Pearson Modern Classics for Advanced Mathematics Series
ISBN: 9780134689494
Category : Functional analysis
Languages : en
Pages : 0
Book Description
This text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.
Real Analysis
Author: N. L. CarothersPublisher: Cambridge University Press
ISBN: 9780521497565
Category : Mathematics
Languages : en
Pages : 420
Book Description
A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.