Reflexive Compact Mappings

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Constructive Compact Linear Mappings

In this paper, we deal with compact linear mappings of a normed linear space, within the framework of Bishop's constructive mathematics. We prove the constructive substitutes for the classically well-known theorems on compact linear mappings: T is compact if and only if T* is compact; if S is bounded and if T is compact, then TS is compact; if S and T is compact, then S+ T is compact.

متن کامل

Fixed Point Theorems for Densifying Mappings and Compact Mappings

for all distinct x,y ∈ X, where n(x,y) ∈ N. Bailey [1] has investigated the existence of fixed points for the contractive mapping (1.1) in compact metric spaces. Liu [4] first introduced the definition of the family of mappings CISf , and showed fixed point theorems for CISf . In this note, we prove a few fixed point theorems for densifying and compact mappings which satisfy (1.1) in complete m...

متن کامل

Mosco Stability of Proximal Mappings in Reflexive Banach Spaces

In this paper we establish criteria for the stability of the proximal mapping Prox φ = (∂φ+∂f)−1 associated to the proper lower semicontinuous convex functions φ and f on a reflexive Banach space X.We prove that, under certain conditions, if the convex functions φn converge in the sense of Mosco to φ and if ξn converges to ξ, then Prox f φn(ξn) converges to Prox f φ(ξ). 1. Preliminaries Let X b...

متن کامل

Lattès-type Mappings on Compact Manifolds

A uniformly quasiregular mapping acting on a compact Riemannian manifold distorts the metric by a bounded amount, independently of the number of iterates. Such maps are rational with respect to some measurable conformal structure and there is a Fatou-Julia type theory associated with the dynamical system obtained by iterating these mappings. We study a rich subclass of uniformly quasiregular ma...

متن کامل

Fixed Point Theorems for ws-Compact Mappings in Banach Spaces

1 Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, FL 32901, USA 2 Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 3 Department of Mathematics, National University of Ireland, Galway, Ireland 4 Université Cadi Ayyad, Laboratoire de Mathématiques et de Dynamique de Po...

متن کامل

ذخیره 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: 1966

ISSN: 0002-9939

DOI: 10.2307/2035391