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Asymptotic Cones and Functions in Optimization and Variational Inequalities (Paperback, Softcover reprint of the original 1st ed. 2003)
Loot Price: R3,260
Discovery Miles 32 600
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Asymptotic Cones and Functions in Optimization and Variational Inequalities (Paperback, Softcover reprint of the original 1st ed. 2003)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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Total price: R3,280
Discovery Miles: 32 800
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This book provides a systematic and comprehensive account of
asymptotic sets and functions from which a broad and useful theory
emerges in the areas of optimization and variational inequalities.
A variety of motivations leads mathematicians to study questions
about attainment of the infimum in a minimization problem and its
stability, duality and minmax theorems, convexification of sets and
functions, and maximal monotone maps. For each there is the central
problem of handling unbounded situations. Such problems arise in
theory but also within the development of numerical methods. The
book focuses on the notions of asymptotic cones and associated
asymptotic functions that provide a natural and unifying framework
for the resolution of these types of problems. These notions have
been used largely and traditionally in convex analysis, yet these
concepts play a prominent and independent role in both convex and
nonconvex analysis. This book covers convex and nonconvex problems,
offering detailed analysis and techniques that go beyond
traditional approaches. The book will serve as a useful reference
and self-contained text for researchers and graduate students in
the fields of modern optimization theory and nonlinear analysis.
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