منابع مشابه
Kantorovich Spaces and Optimization
This is an expository talk on interaction between mathematical programming and vector lattices at the Kantorovich Memorial (St. Petersburg, January
متن کاملKantorovich type inequalities for ordered linear spaces
In this paper Kantorovich type inequalities are derived for linear spaces endowed with bilinear operations ◦1 and ◦2. Sufficient conditions are found for vector-valued maps Φ and Ψ and vectors x and y under which the inequality Φ(x) ◦2 Φ(y) ≤ C + c 2 √ Cc Ψ(x ◦1 y) is satisfied. Complementary inequalities are also given. Some results of Dragomir [J. Inequal. Pure Appl. Math., 5 (3), Art. 76, 20...
متن کاملEla Kantorovich Type Inequalities for Ordered Linear Spaces∗
In this paper Kantorovich type inequalities are derived for linear spaces endowed with bilinear operations ◦1 and ◦2. Sufficient conditions are found for vector-valued maps Φ and Ψ and vectors x and y under which the inequality Φ(x) ◦2 Φ(y) ≤ C + c 2 √ Cc Ψ(x ◦1 y) is satisfied. Complementary inequalities are also given. Some results of Dragomir [J. Inequal. Pure Appl. Math., 5 (3), Art. 76, 20...
متن کاملLinearly rigid metric spaces and Kantorovich type norms
We introduce and study the class of linearly rigid metric spaces; these are the spaces that admit a unique, up to isometry, linearly dense isometric embedding into a Banach space. The first nontrivial example of such a space was given by R. Holmes; he proved that the universal Urysohn space has this property. We give a criterion of linear rigidity of a metric space, which allows us to give a si...
متن کاملSlopes of Kantorovich Potentials and Existence of Optimal Transport Maps in Metric Measure Spaces
We study optimal transportation with the quadratic cost function in geodesic metric spaces satisfying suitable non-branching assumptions. We introduce and study the notions of slope along curves and along geodesics and we apply the latter to prove suitable generalizations of Brenier’s theorem of existence of optimal maps.
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ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 2016
ISSN: 0022-3239,1573-2878
DOI: 10.1007/s10957-016-0899-9