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Unilateral Variational Analysis in Banach Spaces (In 2 Parts)

Original price was: ₹43326.00.Current price is: ₹32495.00.

Part I: General Theory

Part II: Special Classes of Functions and Sets

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AuthorLionel Thibault
ISBN9789811258169
Published LanguageEnglish
Publication Year2023
PublisherWorld Scientific
BindingHardback
Original Price$498
Pages1628
Ships By3-4 days

Description

The monograph provides a detailed and comprehensive presentation of the rich and beautiful theory of unilateral variational analysis in infinite dimensions. It is divided into two volumes named Part I and Part II. Starting with the convergence of sets and the semilimits and semicontinuities of multimappings, the first volume develops the theories of tangent cones, of subdifferentials, of convexity and duality in locally convex spaces, of extended mean value inequalities in absence of differentiability, of metric regularity, of constrained optimization problems.

The second volume is devoted to special classes of non-smooth functions and sets. It expands the theory of subsmooth functions and sets, of semiconvex functions and multimappings, of primal lower regular functions, of singularities of non-smooth mappings, of prox-regular functions and sets in general spaces, of differentiability of projection mapping and others for prox-regular sets. Both volumes I and II contain, for each chapter, extensive comments covering related developments and historical comments.

Connected area fields of the material are: optimization, optimal control, variational inequalities, differential inclusions, mechanics, economics. The book is intended for PhD students, researchers, and practitioners using unilateral variational analysis tools.

Additional information

Author

ISBN

Published Language

Publication Year

Publisher

Binding

Original Price

Pages

1628

Ships By

3-4 days