Share

Vector Variational Inequalities and Vector Equilibria

2013-12-01 Mathematics
Download Vector Variational Inequalities and Vector Equilibria PDF Online Free

Author :
Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 994/5 ( reviews)

GET EBOOK


Book Synopsis Vector Variational Inequalities and Vector Equilibria by : F. Giannessi

Download or read book Vector Variational Inequalities and Vector Equilibria written by F. Giannessi. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the mathematical theory of vector variational inequalities with special reference to equilibrium problems. Such models have been introduced recently to study new problems from mechanics, structural engineering, networks, and industrial management, and to revisit old ones. The common feature of these problems is that given by the presence of concurrent objectives and by the difficulty of identifying a global functional (like energy) to be extremized. The vector variational inequalities have the advantage of both the variational ones and vector optimization which are found as special cases. Among several applications, the equilibrium flows on a network receive special attention. Audience: The book is addressed to academic researchers as well as industrial ones, in the fields of mathematics, engineering, mathematical programming, control theory, operations research, computer science, and economics.

Vector Variational Inequalities and Vector Optimization

2017-10-31 Business & Economics
Download Vector Variational Inequalities and Vector Optimization PDF Online Free

Author :
Release : 2017-10-31
Genre : Business & Economics
Kind : eBook
Book Rating : 490/5 ( reviews)

GET EBOOK


Book Synopsis Vector Variational Inequalities and Vector Optimization by : Qamrul Hasan Ansari

Download or read book Vector Variational Inequalities and Vector Optimization written by Qamrul Hasan Ansari. This book was released on 2017-10-31. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization.

Variational Inequalities and Network Equilibrium Problems

2013-06-29 Social Science
Download Variational Inequalities and Network Equilibrium Problems PDF Online Free

Author :
Release : 2013-06-29
Genre : Social Science
Kind : eBook
Book Rating : 580/5 ( reviews)

GET EBOOK


Book Synopsis Variational Inequalities and Network Equilibrium Problems by : F. Giannessi

Download or read book Variational Inequalities and Network Equilibrium Problems written by F. Giannessi. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings forth a set of papers presented at the conference on "Varia tional Inequalities and network equilibrium problems", held in Erice at the "G. Stam pacchia" School of the "E. Majorana" Centre for Scientific Culture in the period 19~25 June 1994. The meeting was conceived to contribute to the exchange between Variational Analysis and equilibrium problems, especially those related to network design. Most of the approaches and viewpoints of these fields are present in the volume, both as concerns the theory and the applications of equilibrium problems to transportation, computer and electric networks, to market behavior, and to bi~level programming. Being convinced of the great importance of equilibrium problems as well as of their complexity, the organizers hope that the merging of points of view coming from differ ent fields will stimulate theoretical research and applications. In this context Variational and Quasi~Variational Inequalities have shown them selves to be very important models for equilibrium problems. As a consequence in the last two decades they have received a lot of attention both as to mathematical inves tigation and applications. The proof that the above mentioned equilibrium problems can be expressed, in terms of Variational or Quasi~Variational Inequalities also in the non~standard and non~symmetric cases, has been a crucial improvement.

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

2006-04-11 Mathematics
Download Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models PDF Online Free

Author :
Release : 2006-04-11
Genre : Mathematics
Kind : eBook
Book Rating : 263/5 ( reviews)

GET EBOOK


Book Synopsis Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models by : F. Giannessi

Download or read book Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models written by F. Giannessi. This book was released on 2006-04-11. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases. The book shows how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained.

Equilibrium Problems and Variational Models

2013-12-01 Mathematics
Download Equilibrium Problems and Variational Models PDF Online Free

Author :
Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 390/5 ( reviews)

GET EBOOK


Book Synopsis Equilibrium Problems and Variational Models by : P. Daniele

Download or read book Equilibrium Problems and Variational Models written by P. Daniele. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: The volume, devoted to variational analysis and its applications, collects selected and refereed contributions, which provide an outline of the field. The meeting of the title "Equilibrium Problems and Variational Models", which was held in Erice (Sicily) in the period June 23 - July 2 2000, was the occasion of the presentation of some of these papers; other results are a consequence of a fruitful and constructive atmosphere created during the meeting. New results, which enlarge the field of application of variational analysis, are presented in the book; they deal with the vectorial analysis, time dependent variational analysis, exact penalization, high order deriva tives, geometric aspects, distance functions and log-quadratic proximal methodology. The new theoretical results allow one to improve in a remarkable way the study of significant problems arising from the applied sciences, as continuum model of transportation, unilateral problems, multicriteria spatial price models, network equilibrium problems and many others. As noted in the previous book "Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models", edited by F. Giannessi, A. Maugeri and P.M. Pardalos, Kluwer Academic Publishers, Vol. 58 (2001), the progress obtained by variational analysis has permitted to han dle problems whose equilibrium conditions are not obtained by the mini mization of a functional. These problems obey a more realistic equilibrium condition expressed by a generalized orthogonality (complementarity) con dition, which enriches our knowledge of the equilibrium behaviour. Also this volume presents important examples of this formulation.

You may also like...