A Lagrange multiplier theorem and a sandwich theorem for convex relations.
نویسندگان
چکیده
منابع مشابه
A short elementary proof of the Lagrange multiplier theorem
We present a short elementary proof of the Lagrange multiplier theorem for equality-constrained optimization. Most proofs in the literature rely on advanced analysis concepts such as the implicit function theorem, whereas elementary proofs tend to be long and involved. By contrast, our proof uses only basic facts from linear algebra, the definition of differentiability, the critical-point condi...
متن کاملA Multiplier Theorem
We show that the assumption n1 > λ in the Second Multiplier Theorem can be replaced by a divisibility condition weaker than the condition in McFarland’s multiplier theorem, thus obtaining significant progress towards the multiplier conjecture.
متن کاملEgoroff Theorem for Operator-Valued Measures in Locally Convex Cones
In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...
متن کاملVector ultrametric spaces and a fixed point theorem for correspondences
In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric spaces.
متن کاملThe Sandwich Theorem
This report contains expository notes about a function ti(G) that is popularly known as the Lovasz number of a graph G. There are many ways to define G(G), and the surprising variety of different characterizations indicates in itself that ti(G) should be interesting. But the most interesting property of 8(G) is probably the fact that it can be computed efficiently, although it lies “sandwiched”...
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: MATHEMATICA SCANDINAVICA
سال: 1981
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11911