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On the regularity condition in a convex feasibility problem

✍ Scribed by Ştefan Măruşter; Cristina Popîrlan

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
370 KB
Volume
70
Category
Article
ISSN
0362-546X

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✦ Synopsis

The regularity properties of a family of closed convex sets with nonempty intersection are investigated in the frame of a real Hilbert space. The significant role of these properties in solving convex feasibility problems with projection algorithms is pointed out.

📜 SIMILAR VOLUMES

On the Mann-type iteration and the conve
On the Mann-type iteration and the convex feasibility problem
✍ Ştefan Măruşter; Cristina Popirlan 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 158 KB

The weak and strong convergence of a sequence generated by a Mann-type iteration are investigated in the frame of a real Hilbert space. Some applications to the projection method for the convex feasibility problem are given.