Vector Optimization

Released on by Johannes Jahn
preview-18

  • Vector Optimization Book Detail

  • Author : Johannes Jahn
  • Release Date : 2013-06-05
  • Publisher : Springer Science & Business Media
  • Genre : Business & Economics
  • Pages : 471
  • ISBN 13 : 3540248285
  • File Size : 64,64 MB
DOWNLOAD BOOK

Vector Optimization by Johannes Jahn PDF Summary

Book Description: In vector optimization one investigates optimal elements such as min imal, strongly minimal, properly minimal or weakly minimal elements of a nonempty subset of a partially ordered linear space. The prob lem of determining at least one of these optimal elements, if they exist at all, is also called a vector optimization problem. Problems of this type can be found not only in mathematics but also in engineer ing and economics. Vector optimization problems arise, for exam ple, in functional analysis (the Hahn-Banach theorem, the lemma of Bishop-Phelps, Ekeland's variational principle), multiobjective pro gramming, multi-criteria decision making, statistics (Bayes solutions, theory of tests, minimal covariance matrices), approximation theory (location theory, simultaneous approximation, solution of boundary value problems) and cooperative game theory (cooperative n player differential games and, as a special case, optimal control problems). In the last decade vector optimization has been extended to problems with set-valued maps. This new field of research, called set optimiza tion, seems to have important applications to variational inequalities and optimization problems with multivalued data. The roots of vector optimization go back to F. Y. Edgeworth (1881) and V. Pareto (1896) who has already given the definition of the standard optimality concept in multiobjective optimization. But in mathematics this branch of optimization has started with the leg endary paper of H. W. Kuhn and A. W. Tucker (1951). Since about v Vl Preface the end of the 60's research is intensively made in vector optimization.

Disclaimer: www.yourbookbest.com does not own Vector Optimization books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Vector Optimization

Vector Optimization

File Size : 58,58 MB
Total View : 9939 Views
DOWNLOAD

In vector optimization one investigates optimal elements such as min imal, strongly minimal, properly minimal or weakly minimal elements of a nonempty subset of

Nonlinear Analysis and Variational Problems

Nonlinear Analysis and Variational Problems

File Size : 45,45 MB
Total View : 2160 Views
DOWNLOAD

The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematicia