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STRONG CONVERGENCE OF AN IMPLICIT ITERATIVE PROCESS FOR AN INFINITE FAMILY OF STRICT PSEUDOCONTRACTIONS

강신민|조열제|Xiaolong Qin
대한수학회 (The Korean Mathematical Society)|2010.11|대한수학회보 (Bulletin of the KMS)|제47권 제6호|pp. 1259-1268

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참고문헌

키워드

Banach spacecommon fixed pointnonexpansive mappingimplicit iterative processstrict pseudocontraction
주제분류수학

초록

In this paper, we consider an implicit iterative process with errors for an infinite family of strict pseudocontractions. Strong convergence theorems are established in the framework of Banach spaces. The results presented in this paper improve and extend the recent ones announced by many others.

Abstract

In this paper, we consider an implicit iterative process with errors for an infinite family of strict pseudocontractions. Strong convergence theorems are established in the framework of Banach spaces. The results presented in this paper improve and extend the recent ones announced by many others.

참고문헌 (14)

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  9. N. Shahzad, "Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps", Appl. Math. Comput., 189(2), pp.1058~1065 (2007)
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  14. H. Zhou, "Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces", Nonlinear Anal., 68(10), pp.2977~2983 (2008)

관련 논문AI추천

AN IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF STRONGLY PSEUDOCONTRACTIVE MAPPINGS이병수, Arif Raflq한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제3호STRONG CONVERGENCE OF AN IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF STRONG SUCCESSIVELY Φ-PSEUDOCONTRACTIVE MAPSQian Miao, Rudong Chen영남수학회 · East Asian Mathematical Journal2008 · 제24권 제1호IMPLICIT ITERATION PROCESS FOR COMMON FIXED POINTS OF AN INFINITE FAMILY OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN BANACH SPACES김종규, 조열제, Shih-sen Chang대한수학회 · 대한수학회논문집2010 · 제25권 제4호Convergence of an Implicit Iterative Process for Two Finite Families of Nonexpansive Mappings강신민, 권영철, 조선영, Xiaolong Qin강원경기수학회 · 한국수학논문집2010 · 제18권 제3호CONVERGENCE TO COMMON FIXED POINTS FOR A FINITE FAMILY OF GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACESG. S. Saluja영남수학회 · East Asian Mathematical Journal2013 · 제29권 제1호CONVERGENCE THEOREMS OF IMPLICIT ITERATION PROCESS WITH ERRORS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN BANACH SPACESG. S. Saluja영남수학회 · East Asian Mathematical Journal2012 · 제28권 제1호

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