𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A fixed point theorem including the last theorem of Poincaré

✍ Scribed by C. B. Garcia


Publisher
Springer-Verlag
Year
1975
Tongue
English
Weight
531 KB
Volume
9
Category
Article
ISSN
0025-5610

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A fixed-point theorem of Krasnoselskii
✍ T.A Burton 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 193 KB

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