Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.
Автор: Robert R. Phelps Название: Convex Functions, Monotone Operators and Differentiability ISBN: 3540567151 ISBN-13(EAN): 9783540567158 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Starting with convex functions on the line, this title leads to interconnected topics in convexity, differentiability and subdifferentiability of convex functions in Banach spaces, generic continuity of monotone operators, geometry of Banach spaces and the Radon-Nikodym property, convex analysis, variational principles and perturbed optimization.
Описание: The journal "Aequationes Mathematicae" publishes papers in pure and applied mathematics in general and, in particular, articles focusing on functional equations, combinatorics and dynamical systems. This work contains invited survey papers to celebrate the 50th volume of this journal.
Автор: Ravi P. Agarwal; Donal O`Regan; D. R. Sahu Название: Fixed Point Theory for Lipschitzian-type Mappings with Applications ISBN: 1441926062 ISBN-13(EAN): 9781441926067 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Over the past few decades, fixed point theory has become an important field of study in both pure and applied mathematics. This book presents the main techniques and results in the theory, from preliminary topics and basic results to applicable problems.
Автор: Lech G?rniewicz Название: Topological Fixed Point Theory of Multivalued Mappings ISBN: 9400787243 ISBN-13(EAN): 9789400787247 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is devoted to the topological fixed point theory of multivalued mappings including applications to differential inclusions and mathematical economy. It is the first monograph dealing with the fixed point theory of multivalued mappings in metric ANR spaces.
Автор: Matti Vuorinen Название: Quasiconformal Space Mappings ISBN: 3540554181 ISBN-13(EAN): 9783540554189 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A collection of surveys on function theory in Euclidean n-dimensional spaces centred around the theme of quasiconformal space mappings. The papers cover or are related to several topics including inequalities for conformal invariants and extreme length, and nonlinear potential theory.
Автор: Pei-Chu Hu; Ping Li; Chung-Chun Yang Название: Unicity of Meromorphic Mappings ISBN: 1402012195 ISBN-13(EAN): 9781402012198 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduces value distribution theory starting with a survey of two Nevanlinna-type main theorems and defect relations for meromorphic mappings from parabolic manifolds into projective spaces. The unicity theory of meromorphic functions or mappings is discussed and the discussion also covers value distribution theory of algebroid functions.
Описание: One service mathematics has rendered the 'Et moi, ...- si Javait so comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. AIl arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Автор: Stanislav Hencl; Pekka Koskela Название: Lectures on Mappings of Finite Distortion ISBN: 3319031724 ISBN-13(EAN): 9783319031729 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion.
Автор: Alexander D. Ioffe Название: Variational Analysis of Regular Mappings ISBN: 3319642766 ISBN-13(EAN): 9783319642765 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1 The Classical Theory.- 2 Metric Theory: Phenomenology.- 3 Metric Theory: The Infinitesimal Viewpoint.- 4 Subdifferentials: A Short Introduction.- 5 Banach Space Theory: Regularity Criteria.- 6 Banach Space Theory: Special Classes of Mappings.- 7 Applications to Analysis and Optimization 1.- 8 Regularity in Finite-Dimensional Spaces.- 9 Applications to Analysis and Optimization 2.
Автор: Pei-Chu Hu; Ping Li; Chung-Chun Yang Название: Unicity of Meromorphic Mappings ISBN: 1441952438 ISBN-13(EAN): 9781441952431 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8 , 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.
Автор: Gerold Alsmeyer; Matthias L?we Название: Random Matrices and Iterated Random Functions ISBN: 3642388051 ISBN-13(EAN): 9783642388057 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of the workshop was to bring together researchers from two fields of probability theory: random matrix theory and the theory of iterated random functions.
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