Proximal proper efficiency for minimisation with respect to normal cones
نویسندگان
چکیده
منابع مشابه
Complementarity problems with respect to Loewnerian cones
This work deals with the analysis and numerical resolution of a broad class of complementarity problems on spaces of symmetric matrices. The complementarity conditions are expressed in terms of the Loewner ordering or, more generally, with respect to a dual pair of Loewnerian cones.
متن کاملScalarizations for Maximization with Respect to Polyhedral Cones
Efficient points are obtained for cone-ordered maximizations in n R using the method of scalarization. Various scalarizations are presented for ordering cones in general and then for the important special case of polyhedral cones. For polyhedral cones, it is shown how to find vectors in the positive dual cone that are needed for a scalarized objective function. Instructive examples are presented.
متن کاملOn Optimality Conditions for Maximizations with Respect to Cones
For a Pareto maximization problem defined in infinite dimensions in terms of cones, relationships among several types of maximal elements are noted and optimality conditions are developed in terms of tangent cones.
متن کاملDuality Theory for Maximizations with Respect to Cones
Generalizations of Pareto optimality have been studied by a number of authors. In finite dimensions such work is exemplified by Corley [ 5 ], DaCunha and Polak [10], Goeffrion [131, Hartley [151, Lin [171, Tanino and Sawaragi [211, Wendell and Lee [221, and Yu [231. The optimization of functions into possibly infinite dimensions has been considered by Borwein [21, Cesari and Suryanarayana [31, ...
متن کاملAbsorbing Representations with Respect to Closed Operator Convex Cones
We initiate the study of absorbing representations of C-algebras with respect to closed operator convex cones. We completely determine when such absorbing representations exist, which leads to the question of characterising when a representation is absorbing, as in the classical Weyl–von Neumann type theorem of Voiculescu. In the classical case, this was proven by Elliott and Kucerovsky who pro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2005
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700038193