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CONVERGENCE THEOREMS ON VISCOSITY APPROXIMATION METHODS FOR FINITE NONEXPANSIVE MAPPINGS IN BANACH SPACES

정종수
한국수학교육학회|2009.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제1호|pp. 85-98

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참고문헌

키워드

contractioncommon fixed pointsnonexpansive mappingMann iterationuniformly Gateaux differentiable normviscosity approximation methodvariational inequality.
주제분류수학

초록

Strong convergence theorems on viscosity approximation methods for finite nonexpansive mappings are established in Banach spaces. The main theorem generalize the corresponding result of Kim and Xu [10] to the viscosity approximation method for finite nonexpansive mappings in a reflexive Banach space having a uniformly Gateaux differentiable norm. Our results also improve the corresponding results of [7, 8, 19, 20].

Abstract

Strong convergence theorems on viscosity approximation methods for finite nonexpansive mappings are established in Banach spaces. The main theorem generalize the corresponding result of Kim and Xu [10] to the viscosity approximation method for finite nonexpansive mappings in a reflexive Banach space having a uniformly Gateaux differentiable norm. Our results also improve the corresponding results of [7, 8, 19, 20].

참고문헌 (20)

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관련 논문AI추천

VISCOSITY APPROXIMATIONS FOR NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES정종수영남수학회 · East Asian Mathematical Journal2010 · 제26권 제3호CONVERGENCE OF VISCOSITY APPROXIMATIONS TO FIXED POINTS OF NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES정종수영남수학회 · East Asian Mathematical Journal2008 · 제24권 제1호STRONG CONVERGENCE OF GENERAL ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES정종수대한수학회 · 대한수학회지2017 · 제54권 제3호Viscosity methods of approximation for a common solution of a finite family of accretive operatorsJun-Min Chen, Li-Juan Zhang, Tie-Gang Fan영남수학회 · East Asian Mathematical Journal2011 · 제27권 제1호Strong convergence of an iterative method for finding common zeros of a finite family of accretive operators정종수대한수학회 · 대한수학회논문집2009 · 제24권 제3호Convergence of approximating paths to solutions of variational inequalities involving non-Lipschitzian mappings정종수, Daya Ram Sahu대한수학회 · 대한수학회지2008 · 제45권 제2호

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