Remarks on differential inequalities in Banach spaces
نویسندگان
چکیده
منابع مشابه
Remarks on Orthogonal Convexity of Banach Spaces
It is proved that orthogonal convexity defined by A. JimenezMelado and E. Llorens-F'uster implies the weak Banach-Saks property. Relations between orthogonal convexity and another geometric properties, such as nearly uniform smoothness and property ( P ) , are studied. Introduction. Orthogonal convexity has been introduced by A. Jimenez-Melado and E. Llorens-F'uster (see [3] and [4]) as a geome...
متن کاملSome Remarks on Controllability of Evolution Equations in Banach Spaces
In almost all papers in the literature, the results on exact controllability hold only for finite dimensional Banach spaces, since compactness of the semigroup and the bounded invertibility of an operator implies finite dimensional. In this note we show that the existence theory on controllability in the literature, can trivially be adjusted to include the infinite dimensional space setting, if...
متن کاملOn Linear Systems Containing Strict Inequalities in Reflexive Banach Spaces
In this paper, we consider linear systems of an arbitrary number of both weak and strict inequalities in a reflexive Banach space X. The number of inequalities and equalities in these systems is arbitrary (possibly infinite). For such kind of systems a consistency theorem is provided and those strict inequalities (weak inequalities, equalities) which are satisfied for every solution of a given ...
متن کاملOn Generalized Strong Vector Variational-Like Inequalities in Banach Spaces
The purpose of this paper is to study the solvability for a class of generalized strong vector variational-like inequalities in reflexive Banach spaces. Firstly, utilizing Brouwer’s fixed point theorem, we prove the solvability for this class of generalized strong vector variational-like inequalities without monotonicity assumption under some quite mild conditions. Secondly, we introduce the ne...
متن کاملOn an iterative algorithm for variational inequalities in Banach spaces
In this paper, we suggest and analyze a new iterative method for solving some variational inequality involving an accretive operator in Banach spaces. We prove the strong convergence of the proposed iterative method under certain conditions. As a special of the proposed algorithm, we proved that the algorithm converges strongly to the minimum norm solution of some variational inequality. AMS su...
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: Proceedings of the American Mathematical Society
سال: 1975
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1975-0377220-3