A New Extension Theorem for Concave Operators
نویسندگان
چکیده
منابع مشابه
A New Extension Theorem for Concave Operators
We present a new and interesting extension theorem for concave operators as follows. Let X be a real linear space, and let Y,K be a real order complete PL space. Let the setA ⊂ X × Y be convex. Let X0 be a real linear proper subspace of X, with θ ∈ AX −X0 , where AX {x | x, y ∈ A for some y ∈ Y}. Let g0 : X0 → Y be a concave operator such that g0 x ≤ z whenever x, z ∈ A and x ∈ X0. Then there e...
متن کاملUnbounded operators, Friedrichs’ extension theorem
Explicit naming of the domain of an unbounded operator is often suppressed, instead writing T1 ⊂ T2 when T2 is an extension of T1, in the sense that the domain of T2 contains that of T1, and the restriction of T2 to the domain of T1 agrees with T1. An operator T ′, D′ is a sub-adjoint to an operator T,D when 〈Tv,w〉 = 〈v, T ′w〉 (for v ∈ D, w ∈ D′) For D dense, for given D′ there is at most one T...
متن کاملA Utility Equivalence Theorem for Concave Functions
Given any two sets of independent non-negative random variables and a non-decreasing concave utility function, we identify sufficient conditions under which the expected utility of sum of these two sets of variables is (almost) equal. We use this result to design a polynomialtime approximation scheme (PTAS) for the utility maximization in a wide variety of risk-averse settings (when the risk a ...
متن کاملExtension of Krull's intersection theorem for fuzzy module
In this article we introduce $mu$-filtered fuzzy module with a family of fuzzy submodules. It shows the relation between $mu$-filtered fuzzy modules and crisp filtered modules by level sets. We investigate fuzzy topology on the $mu$-filtered fuzzy module and apply that to introduce fuzzy completion. Finally we extend Krull's intersection theorem of fuzzy ideals by using concept $mu$-adic comp...
متن کاملa new approach to credibility premium for zero-inflated poisson models for panel data
هدف اصلی از این تحقیق به دست آوردن و مقایسه حق بیمه باورمندی در مدل های شمارشی گزارش نشده برای داده های طولی می باشد. در این تحقیق حق بیمه های پبش گویی بر اساس توابع ضرر مربع خطا و نمایی محاسبه شده و با هم مقایسه می شود. تمایل به گرفتن پاداش و جایزه یکی از دلایل مهم برای گزارش ندادن تصادفات می باشد و افراد برای استفاده از تخفیف اغلب از گزارش تصادفات با هزینه پائین خودداری می کنند، در این تحقیق ...
15 صفحه اولذخیره 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: Fixed Point Theory and Applications
سال: 2009
ISSN: 1687-1812
DOI: 10.1155/2009/571546