Last edited by Dom
Monday, August 10, 2020 | History

5 edition of Continuous Selections of Multivalued Mappings (Mathematics and Its Applications) found in the catalog.

Continuous Selections of Multivalued Mappings (Mathematics and Its Applications)

by D. Repovs

  • 328 Want to read
  • 28 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Topology,
  • Science/Mathematics,
  • Mathematics,
  • Selection theorems,
  • Calculus,
  • General,
  • Geometry - General,
  • Mathematics / Calculus,
  • Mathematics / Geometry / General,
  • Mathematics-Geometry - General,
  • Medical-General,
  • Applied,
  • Set-valued maps

  • The Physical Object
    FormatHardcover
    Number of Pages372
    ID Numbers
    Open LibraryOL7808770M
    ISBN 100792352777
    ISBN 109780792352778

    In mathematics, a multivalued function is similar to a function, but may associate several values to each input. More precisely, a multivalued function from a domain X to a codomain Y associates each x in X to one or more values y in Y; it is thus a left-total binary relation. Some authors allow a multivalued function to have no value for some inputs. However, in some contexts such as in complex analysis, . This volume presents a broad introduction to the topological fixed point theory of multivalued (set-valued) mappings, treating both classical concepts as well as modern techniques. A variety of up-to-date results is described within a unified framework.

    - Research Project "Continuous Selections of Multivalued Mappings in Functional Spaces and their Applications" supported by the Russian Foundation of Basic Research (grant N ). - Research Project "Nonconvex Problems in Differential Inclusions, Calculus of Variations and Optimal Control" supported by the Russian. Continuous selections of multivalued mappings 5 values admits a singlevalued continuous selection, whenever all values F(x) are closed in G. Somewhat different approach can be obtained using the following: Lemma 4. For any compact subset K of a convex closed (in G) subset C of an open subset Gof a Banach space B, the closed (in B) convex hullCited by:

    D. Repovš and P.V. Semenov, Continuous Selections of Multivalued Mappings, Kluwer Academic Publishers, Dordrecht E. U. Tarafdar and M. S. R. Chowdhury, Topological methods for set-valued nonlinear analysis, World Scientific, Singapore, See also. Partial function; correspondence; Fat link, a one-to-many hyperlink. BibTeX @MISC{Wu02oncontinuous, author = {X. Wu and B. Thompson and X. Yuan}, title = {ON CONTINUOUS SELECTION PROBLEMS FOR MULTIVALUED MAPPINGS WITH THE LOCAL INTERSECTION PROPERTY IN HYPERCONVEX METRIC SPACES}, year = {}}.


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Continuous Selections of Multivalued Mappings (Mathematics and Its Applications) by D. Repovs Download PDF EPUB FB2

This book is dedicated to the theory of continuous selections of multi­ valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as!'J-n area which has been intensively developing in recent decades and has found various applications in general topology, theory of absolute retracts and infinite-dimensional manifolds.

Continuous selections of multivalued mappings | Repovs D., Semenov P.V. | download | B–OK. Download books for free. Find books. Continuous selections of multivalued mappings. [Dušan Repovš; Pavel Vladimirovič Semenov] -- "This book is the first systematic and comprehensive study of the theory of continuous selections of multivalued mappings.

This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from through Continuous selections of multivalued mappings.

Abstract: This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from through It extends and continues our previous such survey which appeared in Recent Progress in General Topology, II, which was published in Cited by: Extensions of continuous functions 23 Multivalued mappings 27 §1.

Convex-valued selection theorem 33 Paracompactness of the domain as a necessary condition 33 The method of outside approximations 37 The method of inside approximations 41 Properties of paracompact spaces 45 Nerves of locally finite coverings.

mappings to multi-valued mappings with possibly disconnected images: Fixed-Point Theorem (Brouwer [5]) Let Sbe an closed, convex and nonempty subset of Rn, let f: S!Sbe a continuous single-valued mapping.

Then f has a xed point, i.e., a point x with f(x) = x. We use the following notation: IR is the set of all closed intervals in R, and IRn. For instance Michael's selection theorem (see) states sufficient conditions for a multivalued mapping to admit a continuous selection.

In fact, an extensive literature dealing with the existence of measurable selections for multivalued operators can be found in Himmelberg [5] and references by: 1.

This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately)from through It extends and continues our previous such survey which appeared in Recent Progress in General Topology, II which was published in In comparison, our present survey considers Cited by: Download Books pdf reader.

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others, established several continuous selection theorems with applications. We note that all the continuous selection theorems studied by the above authors, the multi-valued maps are defined on a compact or paracompact space.

In [17], Yu and Lin studied continuous selections of multi-valued mappings defined on noncompact spaces, but they. Set-Valued Mappings, Selections and Topological Properties of 2x Proceedings of the Conference Held at the State University of New York at Buffalo, May.

is a platform for academics to share research papers. However, the nonlinear theory is still being developed. Recently, Khamsi, Kirk and Ya~ez [9] studied selection n problems for multivalued mappings with bounded externally hyperconvex values.

In the present paper, our purpose is to study continuous selection problems for multivalued mappings with sub-admissible values. Continuous Selections of Multivalued Mappings.

[Dušan Repovš; Pavel Vladimirovič Semenov] -- This book is the first systematic and comprehensive study of the theory of continuous selections of multivalued mappings. A continuous version of a theorem of Lyapunov on convexity for measures with values in a Banach space is proved, and then used to obtain two results on the existence of a common continuous selection of finitely many multivalued mappings with values in a space of Bochner-integrable functions.

These results are applied to the investigation of properties of solutions of differential inclusions.

Continuous Selections of Multivalued Mappings. Find all books from > At you can find used, antique and new books, compare results and immediately purchase your selection at the best price. This book is dedicated to the theory of continuous selections of multi­.

() Continuous Selections for Multivalued Mappings with Closed Convex Images and Applications. Journal of Mathematical Analysis and Applications() Differentiable Selections and Castaing Representations of by: In the theory of multivalued mappings, a great role is played by selection theorems.

Suchtheoremsallowtoreduceequationsorinclusions,involvingmultivaluedoperators,to equations with single-valued. THE POWER INDICES FOR MULTI-CHOICE MULTI-VALUED GAMES Hsiao, Chih-Ru, Taiwanese Journal of Mathematics, ; Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications Ahmad, Jamshaid, Klin-Eam, Chakkrid, and Azam, Akbar, Abstract and Applied Analysis, This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from through It extends and continues our previous such survey which appeared in Recent Progress in General Topology, II, which was published in Author: Dušan Repovš and Pavel V.

Semenov.c-8 Continuous selections c-8 Continuous Selections 1. Introduction This article is primarily concerned with the following ques-tion: Given a map.:X.2Y (where 2Y denotes {E.Y: E =Ø}), under what conditions selection,that is, a continuous f: that f(x).(x)for every x.X?1 More generally, given.:X.2Y and a closed A.X, when does every selection for.|Aextend to a se Author: E.

Michael.