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Fixed Points in Digital Topology (via Helly Posets)

✍ Scribed by Rueiher Tsaur; Michael B. Smyth

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
258 KB
Volume
74
Category
Article
ISSN
1571-0661

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πŸ“œ SIMILAR VOLUMES

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Fixed points of compact approachable multimaps in topological vector spaces
✍ In-Sook Kim πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 528 KB

Applying the homotopy extension theorem for compact approachable vector fields with star-shaped values, we prove the existence of fixed points and eigenvalues of compact approachable multimaps in topological vector spaces. In particular, we give the Birkhoff-Kellogg Theorem for compact approachable

The Variational Principle and Fixed Poin
The Variational Principle and Fixed Point Theorems in Certain Topological Spaces
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The main purpose of this paper is to introduce the concept of F-type topological spaces and to establish a variational principle and a fixed point theorem in the kind of spaces, which extend Ekeland's variational principle and Caristi's fixed point theorem, respectively.