منابع مشابه
On the Convergence of Maximal Monotone Operators
We study the convergence of maximal monotone operators with the help of representations by convex functions. In particular, we prove the convergence of a sequence of sums of maximal monotone operators under a general qualification condition of the Attouch–Brezis type.
متن کاملADMM for monotone operators: convergence analysis and rates
We propose in this paper a unifying scheme for several algorithms from the literature dedicated to the solving of monotone inclusion problems involving compositions with linear continuous operators in infinite dimensional Hilbert spaces. We show that a number of primaldual algorithms for monotone inclusions and also the classical ADMM numerical scheme for convex optimization problems, along wit...
متن کاملStrong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings
We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence results for resolvents of maximal monotone operators and hemirelatively nonexpansive mappings in a Ban...
متن کاملThe div-curl lemma “trente ans après”: an extension and an application to the G-convergence of unbounded monotone operators
In this paper new div-curl results are derived. For any open set Ω of RN , N 2, we study the limit of the product vn · wn where the sequences vn and wn are respectively bounded in Lp(Ω)N and Lq(Ω)N , while divvn and curlwn are compact in some Sobolev spaces, under the condition 1 1 p + 1 q 1 + 1 N . Our approach is based on a suitable decomposition of the functions vn and wn, combined with the ...
متن کاملPairs of Monotone Operators
This note is an addendum to Sum theorems for monotone operators and convex functions. In it, we prove some new results on convex functions and monotone operators, and use them to show that several of the constraint qualifications considered in the preceding paper are, in fact, equivalent. Introduction We continue with the notation and the numbering of [4]. For the moment, we shall assume that E...
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: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 1990
ISSN: 0294-1449
DOI: 10.1016/s0294-1449(16)30298-0