Parallel methods for quasinonexpansive mappings in a Hilbert space
Koji Aoyama, Shigeru Iemoto
TL;DR
This paper introduces parallel iterative methods for finding common fixed points of quasinonexpansive mappings in Hilbert spaces, extending previous approaches and providing new algorithms for this class of problems.
Contribution
The paper proposes novel parallel iterative algorithms for quasinonexpansive mappings, enhancing convergence techniques in Hilbert spaces.
Findings
New parallel algorithms for fixed point approximation
Extensions of existing methods by Anh, Chung, and Aoyama
Improved convergence properties for the proposed methods
Abstract
This paper is devoted to the problem of finding a common fixed point of quasinonexpansive mappings defined on a Hilbert space. To approximate the solution to this problem, we present several iterative processes using the parallel method based on Anh and Chung (2014) and Aoyama (2018).
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Taxonomy
TopicsOptimization and Variational Analysis · Advanced Optimization Algorithms Research · Aerospace Engineering and Control Systems