6 edition of Variational and quasivariational inequalities found in the catalog.
|Statement||Claudio Baiocchi and António Capelo ; translated by Lakshmi Jayakar.|
|LC Classifications||QA316 .B2513 1984|
|The Physical Object|
|Pagination||ix, 452 p. :|
|Number of Pages||452|
|LC Control Number||83006731|
We suggest and analyze a new self-adaptive method for solving general mixed variational inequalities, which can be viewed as an improvement of the method of (Noor ). Global convergence of the new method is proved under the same assumptions as Noor's method. Some preliminary computational results are given to illustrate the efficiency of the proposed by: 6. Addeddate Identifier ImpulseControlAndQuasiVariationalInequalities Identifier-ark ark://tb2w Ocr .
Variational inequality theory was introduced by Hartman and Stampacchia () as a tool for the study of partial diﬀerential equations with applications principally drawn from mechanics. Such variational inequalities were inﬁnite-dimensional rather than ﬁnite-dimensional as File Size: 2MB. In this paper, we introduce the generalized quasi-variational inequality problem and develop a theory for the existence of solution. This new problem includes as special cases two existing generalizations of the classical variational inequality problem. Relationship with a certain implicit complementarity problem is also by:
ment of quasi-variational inequalities. The theory of quasi-variational inequality has been evolved for various classes of the mapping v → K(v) and the linear or nonlinear opera-tor A: X → X∗; see for instance [6,7,13], in which two approaches to quasi-variational inequalities were proposed. One of them is the so-called monotonicity Cited by: In mathematics, a differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity problems.. DVIs are useful for representing models involving both dynamics and inequality constraints. Examples of such problems include, for example, mechanical impact problems, electrical circuits with ideal .
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Variational and quasivariational inequalities: applications to free boundary problems. problem -- Part II: Quasivariational problems -- Fixed point theorems -- Some results on the existence of solutions of variational inequalities -- Quasivariational \u00A0\u00A0\u00A0\n schema:name\/a> \" Variational and quasivariational inequalities.
Variational-Hemivariational Variational and quasivariational inequalities book with Applications - CRC Press Book This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics.
Variational and Quasi-Variational Inequalities in Mechanics (Solid Mechanics and Its Applications Book ) - Kindle edition by Kravchuk, Alexander S., Neittaanmäki, Pekka J. Download it once and read it on your Kindle device, PC, phones or tablets.
Use features like bookmarks, note taking and highlighting while reading Variational and Quasi-Variational Inequalities in Mechanics Manufacturer: Springer. The variational method is a powerful tool to investigate states and processes in technical devices, nature, living organisms, systems, and economics.
The power of the variational method consists in the fact that many of its sta- ments are physical or natural laws themselves. The variational method is a powerful tool to investigate states and processes in technical devices, nature, living organisms, systems, and economics.
The power of the variational method consists in the fact that many of its sta- ments are physical or natural laws themselves. The essence of the. Get this from a library. Variational and quasi-variational inequalities in mechanics. [A S Kravchuk; P Neittaanmäki] -- "The essential aim of the present book is to consider a wide set of problems arising in the mathematical modelling of mechanical systems under unilateral constraints.
In these investigations elastic. Buy Variational and quasivariational inequalities: Applications to free boundary problems on FREE SHIPPING on qualified ordersCited by: The variational method is a powerful tool to investigate states and processes in technical devices, nature, living organisms, systems, and economics.
The power of the variational method consists in the fact that many of its sta- ments are physical or natural laws themselves. The essence of the variational approach for the solution of problems rel- ing to the determination of the real state.
Baiocchi, C., and Capelo, A.: Variational and quasivariational inequalities. Applications to free boundary problems, Wiley, Google Scholar. Quasi-variational inequalities have been evolved from various points of views; for instance, in [13,14] M.
Noor showed some existence results by a. Variational and quasivariational inequalities with first order constraints Article in Journal of Mathematical Analysis and Applications (2)– January with 16 Reads.
of variational and quasi-variational inequalities. In this paper, we study a class of nonlinear quasi-variational inequalities, called the general nonlinear quasi-variational inequalities, and analyze some new iterative algorithms for solving it using the projection technique and the implicit Wiener-Hopf equations technique.
Then we discuss the Author: Eman Al-Shemas. In mathematics, a variational inequality is an inequality involving a functional, which has to be solved for all possible values of a given variable, belonging usually to a convex mathematical theory of variational inequalities was initially developed to deal with equilibrium problems, precisely the Signorini problem: in that model problem, the functional involved was.
Quasi-variational inequalities are a generalization of the variational inequality model: in a VI, the feasible set is fixed, while the QVI allows the feasible set to vary with or be a function of the variables in the model.
To avoid repetition, we assume you are already familiar with the theory and notation for VI models. In this section, we present a mathematical formulation of QVI, give. () Inverse problems for multi-valued quasi variational inequalities and noncoercive variational inequalities with noisy data.
Optimization() On a variational inequality on elasto-hydrodynamic by: Generalization of Ky Fan's Minimax Inequality with Applications to Generalized Variational Inequalities for Pseudo-Monotone Type I Operators and Fixed Point Theorems Generalization of Ky Fan's Minimax Inequality Generalized Quasi-Variational Inequalities for Monotone and Lower Semi-Continuous.
Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable.
In this paper we develop a new and efficient method for variational inequality with Lipschitz continuous strongly monotone operator. Our analysis is based on a new strongly convex merit function. We apply a variant of the developed scheme for solving quasivariational inequalities.
As a result, we significantly improve the standard sufficient condition for existence and Cited by: This book considers a range of problems in operations research, which are formulated through various mathematical models such as complementarity, variational inequalities, multiobjective optimization, fixed point problems, noncooperative games and inverse optimization.
variational and quasivariational inequalities, equilibrium problems. (Variational Inequality). Let Y be a finite dimensional real Banach space, K be any non-empty, compact and convex subset of Y, and A be an upper semicontinuous mapping from K into the dual space Y* of Y such that Au is a bounded, closed and convex set in.
Solving strongly monotone variational and quasi-variational inequalities Yu. Nesterov⁄ and L. Scrimali y November, Abstract In this paper we develop a new and eﬃcient method for variational inequality with Lipschitz continuous strongly monotone operator.
Our analysis is based on a new strongly convex merit function. We apply a variant.For variational inequalities, various merit functions, such as the gap function, the regularized gap function, the D-gap function and so on, have been proposed.
These functions lead to equivalent optimization formulations and are used to optimization-based methods for solving variational inequalities. In this paper, we extend the regularized gap function and the D-gap functions for Cited by: () A preconditioned descent algorithm for variational inequalities of the second kind involving the p-Laplacian operator.
Computational Optimization and Applications() On the multiplier-penalty-approach for quasi-variational by: