Duality in Vector Optimization [electronic resource] / by Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka.
Tipo de material:
TextoSeries Vector OptimizationEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009Descripción: XVI, 400 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642028861Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Computational complexity | Operations research | Mathematics | Operations Research, Mathematical Programming | Operations Research/Decision Theory | Discrete Mathematics in Computer ScienceFormatos físicos adicionales: Sin títuloClasificación CDD: 519.6 Clasificación LoC:QA402-402.37T57.6-57.97Recursos en línea: de clik aquí para ver el libro electrónico Preliminaries on convex analysis and vector optimization -- Conjugate duality in scalar optimization -- Conjugate vector duality via scalarization -- Conjugate duality for vector optimization problems with finite dimensional image spaces -- Wolfe and Mond-Weir duality concepts -- Duality for set-valued optimization problems based on vector conjugacy.
This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are made. Weak, strong and converse duality statements are delivered and connections to classical results from the literature are emphasized. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes. The monograph is closed with extensive considerations concerning conjugate duality for set-valued optimization problems.
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