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Convergence of modified multi-step iterative for a finite family of asymptotically quasi-nonexpansive mappings

Juan Xiao|Ming-ge Yang|Lei Deng
대한수학회 (The Korean Mathematical Society)|2014.01|대한수학회논문집 (Communications of the KMS)|제29권 제1호|pp. 83-95

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참고문헌

키워드

fixed pointuniformly convex Banach spaceasymptotically quasi-nonexpansive mappingasymptotically nonexpansive mapping
주제분류수학

초록

In a uniformly convex Banach space, we introduce a iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings and utilize a new inequality to prove several convergence results for the iterative sequence. The results generalize and unify many important known results of relevant scholars.

Abstract

In a uniformly convex Banach space, we introduce a iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings and utilize a new inequality to prove several convergence results for the iterative sequence. The results generalize and unify many important known results of relevant scholars.

참고문헌 (20)

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관련 논문AI추천

Convergence theorems of a finite family of asymptotically quasi-nonexpansive type mappings in Banach spacesGurucharan Singh Saluja영남수학회 · East Asian Mathematical Journal2011 · 제27권 제1호Convergence 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 제1호Strong convergence for three classes of uniformly equi-continuous and asymptotically quasi-nonexpansive mappingsMeijuan Shang, Xiaolong Qin, Yongfu Su대한수학회 · 대한수학회지2008 · 제45권 제1호CONVERGENCE THEOREMS OF MULTI-STEP ITERATIVE SCHEMES WITH ERRORS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE NONSELF MAPPINGS김종규, G. S. Saluja, Hemant Kumar Nashine영남수학회 · East Asian Mathematical Journal2010 · 제26권 제1호Weak and strong convergence of three step iteration scheme with errors for non-self asymptotically nonexpansive mappings권영철, 정재욱강원경기수학회 · 한국수학논문집2014 · 제22권 제2호

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