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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Continuous Selections of Multivalued Mappings (Paperback, Softcover reprint of hardcover 1st ed. 1998)
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Continuous Selections of Multivalued Mappings (Paperback, Softcover reprint of hardcover 1st ed. 1998)
Series: Mathematics and Its Applications, 455
Expected to ship within 18 - 22 working days
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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, geometric topology, fixed-point
theory, functional and convex analysis, game theory, mathematical
economics, and other branches of modern mathematics. The
fundamental results in this the ory were laid down in the mid
1950's by E. Michael. The book consists of (relatively independent)
three parts - Part A: Theory, Part B: Results, and Part C:
Applications. (We shall refer to these parts simply by their
names). The target audience for the first part are students of
mathematics (in their senior year or in their first year of
graduate school) who wish to get familiar with the foundations of
this theory. The goal of the second part is to give a comprehensive
survey of the existing results on continuous selections of
multivalued mappings. It is intended for specialists in this area
as well as for those who have mastered the material of the first
part of the book. In the third part we present important examples
of applications of continuous selections. We have chosen examples
which are sufficiently interesting and have played in some sense
key role in the corresponding areas of mathematics."
General
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