Strong Convergence Theorems for Common Points of a Finite Family of Accretive Operators

Strong Convergence Theorems for Common Points of a Finite Family of Accretive Operators

In this paper, we propose a new iterative algorithm generated by a nite family of accretive operators in a q-uniformly smooth Banach space. We prove the strong convergence of the proposed iterative algorithm. The results presented in this paper are interesting extensions and improvements of known re...

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Veröffentlicht in:Kyungpook mathematical journal 2019, 59(3), , pp.445-464
Hauptverfasser: 정재욱, 김수환
Format: Artikel
Sprache:eng
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수학
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Zusammenfassung:In this paper, we propose a new iterative algorithm generated by a nite family of accretive operators in a q-uniformly smooth Banach space. We prove the strong convergence of the proposed iterative algorithm. The results presented in this paper are interesting extensions and improvements of known results of Qin et al. [Fixed Point Theory Appl. 2014(2014): 166], Kim and Xu [Nonlinear Anal. 61(2005), 51-60] and Benavides et al. [Math. Nachr. 248(2003), 62-71]. KCI Citation Count: 0
ISSN:1225-6951
0454-8124
DOI:10.5666/KMJ.2019.59.3.445