Krasnoselskii's fixed-point theorem asks for a convex set M and a mapping Pz = Bz + Az such that: (i) Bx+AyEM for eachx, yE M, (ii) A is continuous and compact, (iii) B is a contraction. Then P has a fixed point. A careful reading of the proof reveals that (i) need only ask that Bx + Ay E M when x
✦ LIBER ✦
Generalizations of the Krasnoselskii fixed point theorem
✍ Scribed by Sehie Park
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 251 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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