Remarks on separation of convex sets, fixed-point theorem, and applications in theory of linear operators
FIXED POINT THEORY AND APPLICATIONS, 2007 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume:
- Publication Date: 2007
- Doi Number: 10.1155/2007/80987
- Journal Name: FIXED POINT THEORY AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Hacettepe University Affiliated: No
Abstract
Some properties of the linear continuous operator and separation of convex subsets are investigated in this paper and a dual space for a subspace of a reflexive Banach space with a strictly convex norm is constructed. Here also an existence theorem and fixed-point theorem for general mappings are obtained. Moreover, certain remarks on the problem of existence of invariant subspaces of a linear continuous operator are given.