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Common fixed points for multimaps in metric spaces [Article]
We discuss the existence of common fixed points in uniformly convex metric spaces for singlevalued pointwise asymptotically nonexpansive or nonexpansive mappings and multivalued nonexpansive, ∗-nonexpansive, or ε-semicontinuous ...
Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity [Article]
We study the existence of fixed points and convergence of iterates for asymptotic pointwise contractions in uniformly convex metric spaces. We also study the existence of fixed points for setvalued nonexpansive mappings ...
Invariant subspaces of parabolic self-maps in the Hardy space [Article]
(International Press, 2010-01)
It is shown that the lattice of invariant subspaces of the operator of multiplication by a cyclic element of a Banach algebra consists of the closed ideals of this algebra. As an application, with the help of some elements ...