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http://dx.doi.org/10.4134/BKMS.2007.44.4.861

NEW ITERATIVE PROCESS FOR THE EQUATION INVOLVING STRONGLY ACCRETIVE OPERATORS IN BANACH SPACES  

Zeng, Ling-Yan (SCHOOL OF MATHEMATICS AND INFORMATION CHINA WEST NORMAL UNIVERSITY)
Li, Jun (SCHOOL OF MATHEMATICS AND INFORMATION CHINA WEST NORMAL UNIVERSITY)
Kim, Jong-Kyu (DEPARTMENT OF MATHEMATICS EDUCATION KYUNGNAM UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.44, no.4, 2007 , pp. 861-870 More about this Journal
Abstract
In this paper, under suitable conditions, we show that the new class of iterative process with errors introduced by Li et al converges strongly to the unique solution of the equation involving strongly accretive operators in real Banach spaces. Furthermore, we prove that it is equivalent to the classical Ishikawa iterative sequence with errors.
Keywords
convergence; iterative process; strongly accretive operators;
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