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Cover Vector Optimization  :  Set-Valued and Variational Analysis by 	Guang-YA Chen and Xuexiang Huang and Xiaogi Yang

Download Vector Optimization : Set-Valued and Variational Analysis by Guang-YA Chen and Xuexiang Huang and Xiaogi Yang

  • Authors: Guang-YA Chen and Xuexiang Huang and Xiaogi Yang
  • ISBN-13: 3540212892
  • ISBN: 9783540212898
  • Pub. Date: July 2005
  • Publisher: Springer
  • Add:Admin
  • Add time:12:29
  • Available formats:PDF, FB2, DJBU, TXT, EPUB, Mobi
  • File status:online

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Discription Vector Optimization : Set-Valued and Variational Analysis by Guang-YA Chen and Xuexiang Huang and Xiaogi Yang:

 OverviewVector optimization model has found many important applications in decision making problems such as those in economics theory, management science, and engineering design (since the introduction of the Pareto optimal solu tion in 1896). Typical examples of vector optimization model include maxi mization/minimization of the objective pairs (time, cost), (benefit, cost), and (mean, variance) etc. Many practical equilibrium problems can be formulated as variational in equality problems, rather than optimization problems, unless further assump tions are imposed.

The vector variational inequality was introduced by Gi- nessi (1980). Extensive research on its relations with vector optimization, the existence of a solution and duality theory has been pursued. The fundamental idea of the Ekelands variational principle is to assign an optimization problem a slightly perturbed one having a unique solution which is at the same time an approximate solution of the original problem.

This principle has been an important tool for nonlinear analysis and optimization theory. Along with the development of vector optimization and set-valued optimization, the vector variational principle introduced by Nemeth (1980) has been an interesting topic in the last decade.

Fan Kys minimax theorems and minimax inequalities for real-valued func tions have played a key role in optimization theory, game theory and math ematical economics.

An extension was proposed to vector payoffs was intro duced by Blackwell (1955).This item is Non-Returnable.Mrs. Hummel goes away to work, and Lottchen takes care of it; but it gets sicker and sicker, and I think you or Hannah ought to Vector Optimization : Set-Valued and Variational Analysis. " Beth spoke earnestly, and Meg promised she would go to-morrow.

"Ask Hannah for some nice little mess, and take it round, Beth; the air will do you good," said Jo, adding apologetically, "I'd go, but I want to finish my writing. " "My head aches and I'm tired, so I thought maybe some of you would go," said Beth. "Amy will be in presently, and she will run down for us," suggested Meg. "Well, I'll rest a little and wait for her. " So Beth lay down on the sofa, the others returned to their work, and the Hummels were forgotten.

An hour passed: Amy did not come; Meg went to her room to try on a new dress; Jo was absorbed in her story, and Hannah was sound asleep before the kitchen fire, when Beth quietly put on her hood, filled her basket with odds and ends for the poor children, and went out into the chilly air, with a heavy head, and a grieved look Vector Optimization : Set-Valued and Variational Analysis her patient eyes.

It was late when she came back, and no one saw her creep upstairs and shut herself into her mother's room. Half an hour after Jo went to "mother's closet" for something, and there found Beth sitting on the medicine chest, looking very grave, with red eyes, and a camphor-bottle in her hand. "Christopher Columbus.

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