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4 edition of Lectures on the Ekeland Variational Principle With Applications and Detours (Lectures on Mathematics and Physics Mathematics) found in the catalog.

Lectures on the Ekeland Variational Principle With Applications and Detours (Lectures on Mathematics and Physics Mathematics)

D. G. De Figueiredo

Lectures on the Ekeland Variational Principle With Applications and Detours (Lectures on Mathematics and Physics Mathematics)

by D. G. De Figueiredo

  • 49 Want to read
  • 24 Currently reading

Published by Springer .
Written in English

    Subjects:
  • General,
  • Calculus Of Variations,
  • Mathematics,
  • Science/Mathematics

  • The Physical Object
    FormatPaperback
    Number of Pages96
    ID Numbers
    Open LibraryOL10153062M
    ISBN 100387511792
    ISBN 109780387511795

    via Ekeland s principle, Journal of Mathematical Analysis and Applications,vol.,n o., pp.,. [] D. G. de Figueiredo, Lectures on the Ekeland Variational Principle with Applications and Detours, Tata Institute of Fundamental Research Lectures on Mathematics and Physics, Tata Institute of Fundamental Research, Mumbai, India. Minimax theorems on C1 manifolds via Ekeland variational For applications of minimax principles on C 1 manifolds, we. refer, for instanc e, to [2, 8, 11, 13, 16].

    Tata Institute of Fundamental Research Lectures on Mathematics Editorial Board: Ravi A. Rao (Chairperson), The lecture notes being made available for download in this series have been retypeset and proof read once. However, it is quite possible that some errors still remain. On the Ekeland Variational Principle with Applications and. The aim of this paper is to introduce Ekeland variational principle with variants for generalized vector equilibrium problems and to establish some existence results of solutions of generalized vector equilibrium problems with compact or noncompact domain as applications. Finally, some equivalent results of the established Ekeland variational principle are : De-ning Qu, De-ning Qu, Cao-zong Cheng.

    The Ekeland variational principle for equilibrium problems revisited and applications (English) Alleche, B. / Radulescu, V.D. New search for: Alleche, B.   Lipschitz Functions and Ekeland’s Theorem Lipschitz Functions and Ekeland’s Theorem Beer, Gerald; Ceniceros, Jose As shown by F. Sullivan (Proc. Am. Math. Soc. –, ), validity of the weak Ekeland variational principle implies completeness of the underlying metric space. In this note, we show that what really forces completeness in Sullivan’s .


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Lectures on the Ekeland Variational Principle With Applications and Detours (Lectures on Mathematics and Physics Mathematics) by D. G. De Figueiredo Download PDF EPUB FB2

Lectures on the Ekeland Variational Principle With Applications and Detours (LECTURES ON MATHEMATICS AND PHYSICS MATHEMATICS) by D. De Figueiredo (Author) out of 5 stars 1 rating. ISBN ISBN Why is ISBN important.

ISBN. This bar-code number lets you verify that you're getting exactly the right version 4/5(1). Since its publication inthe variational principle of Ekeland has found many applications in different fields of Analysis.

Some are very scattered in the literature and therein lies the motivation of these notes. They are intended for the use of students and therefore include several detours 4/5(1). Book Review; Published: August Lectures on the ekeland variational principle with applications and detours.

de Figueiredo Tata Institute of Fundamental Research, Bombay, Lectures on Mathematics and Physics-Mathemat Springer-Verlag, Berlin, Heidelberg, New York, Tokyo,96 pp., Softcover DM20,- ISBN Since its appearance in the variational principle of Ekeland has found many applications in different fields in Analysis.

The best refer- ences for those are by Ekeland himself: his survey article [23] and his book with J.-P. Aubin [2]. Not all material presented here appears in those places.

de Figueiredo, Lectures on the Ekeland variational principle with applications and detours, Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol.

81, Published for the Tata Institute of Fundamental Research, Bombay; by Springer-Verlag, Berlin, MR Author: Monther Rashed Alfuraidan, Mohamed Amine Khamsi. de Figueiredo, D.G.: Lectures on the Ekeland variational principle with applications and detours.

Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. Published for the Tata Institute of Fundamental Research, Bombay; by Springer, Berlin () Google ScholarAuthor: Lucio Boccardo, Luigi Orsina.

D.G. de Figueiredo, Lectures on the Ekeland variational principle with applications and detours, Springer-Verlag, Critical point theorems that suppose the compactness condition (PS) introduced in the previous chaøer generally follow the scheme that consists of finding "almost critical points" via vmaomal principle or via a deformation lemma.

Lectures on the Ekeland Variational Principle with Applications and Detours: Lectures delivered at the Indian Institute of Science, Bangalore under Lectures on Mathematics and Physics) Springer-Vlg for the Tata Instittue of Fundamental Research;Springer;TataInst.

The Ekeland variational principle is a general minimization result with a broad variety of applications. It provides a specific method in choosing a minimizing sequence; consequently, this minimizing sequence along with some other conditions give rise to numerous applications.

Equivalents of Ekeland's principle - Volume 48 Issue 3 - W. Oettli, M. Théra. To send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Cited by: Chapter II - Infinite-dimensional Optimization 1.

The Variational Principle 2. Strongly Continuous Functions on LP-spaces 3. Smooth Optimization in L2 4. Weak Topologies 5. Existence Theory for the Calculus of Variations Chapter III - Duality Theory 1.

Convex Analysis 2. Subdifferentiability 3. Necessary Conditions and Duality Theory 4. 1 Introduction and Notation. Introduction. In this book, variational techniques refer to proofs by way of establishing that an appropriate auxiliary function attains a minimum.

This can be viewed as a mathematical form of the principle of least action in physics. A Study of Ekeland’s Variational Principle and Related Theorems and Applications.

is approved in partial fulfillment of the requirements for the degree of. Master of Science - Mathematical Sciences. Department of Mathematical Sciences.

David Costa, Ph.D., Committee Chair Xin Li, Ph.D., Committee Member Hossein Tehrani, Ph.D., Committee MemberAuthor: Jessica Robinson. D.G. De Figueiredo, Lectures on the Ekeland Variational Principle with Applications and Detours, Tata Institute of Fundamental Research, Bombay, K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, Q.

Du, Global existence and uniqueness File Size: 3MB. The Ekeland variational principle [a10] (which provides a characterization of complete metric spaces [a14], cf. also Complete metric space) illustrates the third method in the framework of optimization.

Let be a lower semi-continuous function defined on a complete metric space. Get this from a library. Lectures on the Ekeland variational principle with applications and detours.

[Djairo Guedes de Figueiredo]. Ekeland's variational principle can be used when the lower level set of a minimization problems is not compact, so that the Bolzano–Weierstrass theorem cannot be applied. Ekeland's principle relies on the completeness of the metric space.

Ekeland's principle leads to a. Surjectivity of coercive gradient operators in Hilbert space and nonlinear spectral theory. Lectures on the Ekeland Variational Principle with Applications and Detours, Tata Inst.

Fund. Res. Lectures Math. Phys. 81, Springer, Berlin, Zentralblatt MATH: Cited by: 2. Additional Physical Format: Online version: Figueiredo, Djairo Guedes de, Lectures on the Ekeland variational principle with applications and detours.

ON THE VARIATIONAL PRINCIPLE where p^ ù the solution of the linear differential equation dp^t)ldt=-^' (x, {t),u, (t),t)-p, (t) () Whenever we can take e == 0 in (), we can also take e = 0 in ().

In other words, whenever there exists an optimal control, it Cited by:. de Figueiredo, D.G.: Lectures on the Ekeland variational principle with applications and detours Tata Institute of Fundamental Research Lectures on Mathematics and Physics vol.

Published for the Tata Institute of Fundamental Research, Bombay Google Scholar; Ekeland I.: On the variational principle. J. Math. Anal.variational principles with astonishing applications in mathematics, economics, biology, and other domains.

The aim of the present paper is to prove a v ersion of the Ekeland v ariational principle.Rooted in the physical principle of least action, they have wide applications in diverse fields. This book provides a concise account of the essential tools of infinite-dimensional first-order variational analysis.

These tools are illustrated by applications in many different parts of analysis, optimization and approximation, dynamical systems.