Communications in Mathematical Analysis
- Commun. Math. Anal.
- Volume 22, Number 1 (2019), 51-60.
Convergence to Attractors of Nonexpansive Set-Valued Mappings
In our previous work we have shown that if for any initial point there exists a trajectory of a nonexpansive set-valued mapping attracted by a given set, then this property is stable under small perturbations of the mapping. In the present paper we obtain several extensions of this result.
Commun. Math. Anal., Volume 22, Number 1 (2019), 51-60.
First available in Project Euclid: 20 August 2019
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Primary: 47H04: Set-valued operators [See also 28B20, 54C60, 58C06] 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc. 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30] 54E35: Metric spaces, metrizability 54E50: Complete metric spaces
Reich, Simeon; Zaslavski, Alexander J. Convergence to Attractors of Nonexpansive Set-Valued Mappings. Commun. Math. Anal. 22 (2019), no. 1, 51--60. https://projecteuclid.org/euclid.cma/1566266427