Generic existence of a nonempty compact set of fixed points |
| |
Authors: | Toms Domínguez Benavides |
| |
Institution: | Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain |
| |
Abstract: | Let X be a complete metric space,
a set of continuous mappings from X into itself, endowed with a metric topology finer than the compact-open topology. Assuming that there exists a dense subset
contained in
such that for every mapping T in
the set {x ε X: Tx = x} is nonempty, it is proved that most mappings (in the Baire category sense) in
do have a nonempty compact set of fixed points. Some applications to α-nonexpansive operators, semiaccretive operators and differential equations in Banach spaces are derived. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|