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Fixed-points of Set-continuous Operators

✍ Scribed by Daniel Dzierzgowski; Olivier Esser; Roland Hinnion

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
307 KB
Volume
46
Category
Article
ISSN
0044-3050

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πŸ“œ SIMILAR VOLUMES

Largest fixed points of set continuous o
Largest fixed points of set continuous operators and Boffa's Anti-Foundation
✍ Hisato Muraki πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 180 KB

In Aczel [1], the existence of largest (written "greatest" in Barwise and Moss [2]) fixed points of set continuous operators is proved assuming the schema version of dependent choices in Zermelo-Fraenkel set theory without the axiom of Foundation. In the present paper, we study whether the existence

Existence of fixed points for the sum of
Existence of fixed points for the sum of two operators
✍ JesΓΊs Garcia-Falset πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 181 KB πŸ‘ 1 views

## Abstract The purpose of this paper is to study the existence of fixed points for the sum of two nonlinear operators in the framework of real Banach spaces. Later on, we give some examples of applications of this type of results (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Fixed Point Theorems for Nonlinear Opera
Fixed Point Theorems for Nonlinear Operators
✍ Donal O'Regan πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 218 KB

Some new fixed point theorems are presented for operators of accretive, nonlinear contractive, or nonexpansive type. These results are then used to establish a new existence principle for second order boundary value problems in Hilbert spaces.