{"title":"Diethard Ernst Pallaschke","description":null,"products":[{"product_id":"pairs-of-compact-convex-sets-book-diethard-ernst-pallaschke-9781402009389","title":"Pairs of Compact Convex Sets","description":"Deals with the theory of pairs of compact convex sets. This book also talks about the problem of finding different types of minimal representants of a pair of nonempty compact convex subsets of a locally convex vector space in the sense of the Radstrom-Hormander Theory.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49731249635601,"sku":"NGR9781402009389","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52406702309649,"sku":"NLS9781402009389","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52748737511697,"sku":"NIN9781402009389","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1402009380.jpg?v=1751176858"},{"product_id":"foundations-of-mathematical-optimization-book-diethard-ernst-pallaschke-9780792344247","title":"Foundations of Mathematical Optimization","description":"Many books on optimization consider only finite dimensional  spaces. This volume is unique in its emphasis: the first three  chapters develop optimization in spaces without linear structure, and  the analog of convex analysis is constructed for this case. Many new  results have been proved specially for this publication. In the  following chapters optimization in infinite topological and normed  vector spaces is considered. The novelty consists in using the drop  property for weak well-posedness of linear problems in Banach spaces  and in a unified approach (by means of the Dolecki approximation) to  necessary conditions of optimality. The method of reduction of  constraints for sufficient conditions of optimality is presented. The  book contains an introduction to non-differentiable and vector  optimization.    Audience: This volume will be of interest to mathematicians,  engineers, and economists working in mathematical optimization.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52149916664081,"sku":"NLS9780792344247","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792344247.jpg?v=1757608361"},{"product_id":"pairs-of-compact-convex-sets-book-diethard-ernst-pallaschke-9789048161492","title":"Pairs of Compact Convex Sets","description":"Pairs of compact convex sets arise in the quasidifferential calculus of V.F. Demyanov and A.M. Rubinov as sub- and superdifferentials of quasidifferen- tiable functions (see [26]) and in the formulas for the numerical evaluation of the Aumann-Integral which were recently introduced in a series of papers by R. Baier and F. Lempio (see [4], [5], [10] and [9]) and R. Baier and E.M. Farkhi [6], [7], [8]. In the field of combinatorial convexity G. Ewald et al. [36] used an interesting construction called virtual polytope, which can also be represented as a pair of polytopes for the calculation of the combinatorial Picard group of a fan. Since in all mentioned cases the pairs of compact con- vex sets are not uniquely determined, minimal representations are of special to the existence of minimal pairs of compact importance. A problem related convex sets is the existence of reduced pairs of convex bodies, which has been studied by Chr. Bauer (see [14]).","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52475945976081,"sku":"NLS9789048161492","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789048161492.jpg?v=1759843301"},{"product_id":"foundations-of-mathematical-optimization-book-diethard-ernst-pallaschke-9789048148004","title":"Foundations of Mathematical Optimization","description":"Many books on optimization consider only finite dimensional  spaces. This volume is unique in its emphasis: the first three  chapters develop optimization in spaces without linear structure, and  the analog of convex analysis is constructed for this case. Many new  results have been proved specially for this publication. In the  following chapters optimization in infinite topological and normed  vector spaces is considered. The novelty consists in using the drop  property for weak well-posedness of linear problems in Banach spaces  and in a unified approach (by means of the Dolecki approximation) to  necessary conditions of optimality. The method of reduction of  constraints for sufficient conditions of optimality is presented. The  book contains an introduction to non-differentiable and vector  optimization.    Audience: This volume will be of interest to mathematicians,  engineers, and economists working in mathematical optimization.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52476260188433,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52476261433617,"sku":"NLS9789048148004","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789048148004.jpg?v=1759843777"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-diethard-ernst-pallaschke.oembed","provider":"World of Books ","version":"1.0","type":"link"}