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STRONG CONVERGENCE THEOREMS OF ITERATIVE ALGORITHMS FOR RELATIVELY NON-LIPSCHITZIAN MAPPINGS

김태화|차혜정
장전수학회 (Jangjeon Mathematical Society)|2017.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제20권 제2호|pp. 213-225|DOI 10.17777/pjms.2017.20.2.009

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참고문헌

키워드

Iterative algorithmmappings of asymptotically nonexpansive typerelatively nonexpansive mappingsand strong convergence
주제분류수학

초록

In this paper, we rst review strong convergence theorems of iterative algorithms due to Matsushita and Takahashi [20] for relati- vely nonexpansive mappings and next extend their convergence results to the wider class of uniformly Lipschitzian mappings which are relati- vely asymptotically nonexpansive type. Finally we discuss some appli- cations relating to our main result.

Abstract

In this paper, we rst review strong convergence theorems of iterative algorithms due to Matsushita and Takahashi [20] for relati- vely nonexpansive mappings and next extend their convergence results to the wider class of uniformly Lipschitzian mappings which are relati- vely asymptotically nonexpansive type. Finally we discuss some appli- cations relating to our main result.

참고문헌 (30)

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관련 논문AI추천

STRONG CONVERGENCE OF GENERAL ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES정종수대한수학회 · 대한수학회지2017 · 제54권 제3호On iterative approximation of common fixed points of asymptotically nonexpansive mappings with applications김종규, 임원희, Xiaolong Qin영남수학회 · East Asian Mathematical Journal2012 · 제28권 제5호Strong Convergence of Modified Iteration Processes for Relatively Nonexpansive Mappings김태화, 이화정경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호APPROXIMATIONS OF THE ITERATIVE SEQUENCES FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES조열제, Haiyun Zhou, Shih-Sen Chang영남수학회 · East Asian Mathematical Journal2008 · 제24권 제1호Strong convergence of modified Ishikawa iteration for two relatively nonexpansive mappings in a Banach spaceXian Wang, Ying Liu, Zhen He영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Convergence theorems of the modified Ishikawa iterative process for nonexpansive mappings강신민, 이석진영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호

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