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Strong Convergence of Modified Iteration Processes for Relatively Nonexpansive Mappings

김태화|이화정
경북대학교 자연과학대학 수학과|2008.12|Kyungpook Mathematical Journal|제48권 제4호|pp. 685-703

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참고문헌

키워드

strong convergencenonexpansive mappingsrelatively nonexpansive mappingmodified Ishikawa’s iteration
주제분류수학

초록

Motivated and inspired by ideas due to Matsushida and Takahashi [J. Approx. Theory 134(2005), 257-266] and Martinez-Yanes and Xu [Nonlinear Anal. 64(2006), 2400- 2411], we prove some strong convergence theorems of modified iteration processes for a pair (or finite family) of relatively nonexpansive mappings in Banach spaces, which improve and extend the corresponding results of Matsushida and Takahashi and Martinez-Yanes and Xu in Banach and Hilbert spaces, repectively.

Abstract

Motivated and inspired by ideas due to Matsushida and Takahashi [J. Approx. Theory 134(2005), 257-266] and Martinez-Yanes and Xu [Nonlinear Anal. 64(2006), 2400- 2411], we prove some strong convergence theorems of modified iteration processes for a pair (or finite family) of relatively nonexpansive mappings in Banach spaces, which improve and extend the corresponding results of Matsushida and Takahashi and Martinez-Yanes and Xu in Banach and Hilbert spaces, repectively.

참고문헌 (29)

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관련 논문AI추천

Strong convergence of modified Ishikawa iteration for two relatively nonexpansive mappings in a Banach spaceXian Wang, Ying Liu, Zhen He영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Strong Convergence Theorems for Asymptotically NonexpansiveMappings by Hybrid MethodsMeijuan Shang, Xiaolong Qin, Yongfu Su경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호Convergence theorems of the modified Ishikawa iterative process for nonexpansive mappings강신민, 이석진영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호STRONG CONVERGENCE THEOREMS OF ITERATIVE ALGORITHMS FOR RELATIVELY NON-LIPSCHITZIAN MAPPINGS김태화, 차혜정장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호Convergence of an Implicit Iterative Process for Two Finite Families of Nonexpansive Mappings강신민, 권영철, 조선영, Xiaolong Qin강원경기수학회 · 한국수학논문집2010 · 제18권 제3호Halpern's Iteration for Strongly Relatively Nonexpansive Mappings in Banach SpacesPrasit Cholamjiak, Suthep Suantai경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호

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