Fixed points of nonexpansive potential operators in Hilbert spaces
Department of Mathematics, University of Catania, Viale A. Doria 6, Catania, 95125, Italy
Fixed Point Theory and Applications 2012, 2012:123 doi:10.1186/1687-1812-2012-123Published: 24 July 2012
In this paper, we show the impact of certain general results by the author on the topic described in the title. Here is a sample:
Then, the following alternative holds: either T has a fixed point, or, for each sphere S centered at 0, the restriction to S of the functional has a unique global maximum towards which each maximizing sequence in S converges.
MSC: 47H09, 47H10, 47J30, 47N10, 49K40, 90C31.