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

김수환|정재욱
경북대학교 자연과학대학 수학과|2019.09|Kyungpook Mathematical Journal|제59권 제3호|pp. 445-464|DOI 10.5666/KMJ.2019.59.3.445

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참고문헌

키워드

resolvent operatornonexpansive mappingaccretive operatorzero point
주제분류수학

초록

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].

Abstract

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].

참고문헌 (29)

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관련 논문AI추천

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