𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of a holomorphic retraction onto a common fixed point set of a family of commuting holomorphic self-mappings of BHn

✍ Scribed by Monika Budzyńska


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
118 KB
Volume
53
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis


If B n

H is a Cartesian product of n Hilbert balls and F is a family of commuting holomorphic self-mappings of B n H with a nonempty common ÿxed point set Fix(F), then the set Fix(F) is a holomorphic retract of B n H .


📜 SIMILAR VOLUMES


Common fixed point theorems for a family
✍ Ljubomir Ćirić 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 513 KB

In this paper, new contraction type non-self mappings in a metric space are introduced, and conditions guaranteeing the existence of a common fixed-point for such non-self contractions in a convex metric space are established. These results generalize and improve the recent results of Imdad and Khan

Viscosity methods of approximation for a
✍ Habtu Zegeye; Naseer Shahzad 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 218 KB

Let K be a nonempty closed convex subset of a real reflexive Banach space E that has weakly continuous duality mapping J ϕ for some gauge ϕ. Let T i : K → K , i = 1, 2, . . . , be a family of quasi-nonexpansive mappings with F := ∩ i≥1 F(T i ) = ∅ which is a sunny nonexpansive retract of K with Q a