Let K be a closed convex subset of a Banach space X. We consider complete metric spaces of self-mappings of K which are nonexpansive with respect, to a convex function on X. We prove that the iterates of a generic operator in these spaces converge strongly. In some cases the limits do not depend on the initial points and are the unique fixed point of the operator.
|Number of pages||22|
|Journal||Numerical Functional Analysis and Optimization|
|State||Published - 1999|
ASJC Scopus subject areas
- Signal Processing
- Computer Science Applications
- Control and Optimization