A note on alternating projections in Hilbert space

作者：Kopecka Eva^*; Reich Simeon

来源：Journal of Fixed Point Theory and Applications, 2012, 12(1-2): 41-47.

DOI：10.1007/s11784-013-0097-4

• Alternating nearest point projections
• asymptotic behavior
• asymptotically regular mapping
• closed and convex set
• Hilbert space
• strongly nonexpansive mapping

We provide a direct proof of a result regarding the asymptotic behavior of alternating nearest point projections onto two closed and convex sets in a Hilbert space. Our arguments are based on nonexpansive mapping theory.

• 出版日期2012-12