Nonexpansive mappings on Abelian Banach algebras and their fixed points

作者：Fupinwong W^*

来源：Fixed Point Theory and Applications, 2012, 34959.

DOI：10.1186/1687-1812-2012-150

• fixed point property
• nonexpansive mapping
• Abelian Banach algebra

A Banach space X is said to have the fixed point property if for each nonexpansive mapping on a bounded closed convex subset E of X has a fixed point. We show that each infinite dimensional Abelian complex Banach algebra X satisfying: (i) property (A) defined in (Fupinwong and Dhompongsa in Fixed Point Theory Appl. 2010:Article ID 34959, 2010), (ii) for each such that for each , (iii) does not have the fixed point property. This result is a generalization of Theorem 4.3 in (Fupinwong and Dhompongsa in Fixed Point Theory Appl. 2010:Article ID 34959, 2010). %26lt;br%26gt;MSC: 46B20, 46J99.

• 出版日期2012