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New Iterative Process for The Equation Involving Strongly Accretive Operators in Banach Spaces

김종규|Jun Li|Ling-yan Zeng
대한수학회 (The Korean Mathematical Society)|2007.11|대한수학회보 (Bulletin of the KMS)|제44권 제4호|pp. 861-870

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Abstract

In this paper, under suitable conditions, we show that thenew class of iterative process with errors introduced by Li et al convergesstrongly to the unique solution of the equation involving strongly accre-tive operators in real Banach spaces. Furthermore, we prove that it isequivalent to the classical Ishikawa iterative sequence with errors.

참고문헌 (17)

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관련 논문AI추천

Iterative Approximations of Zeroes for Accretive Operators in Banach Spaces김종규, 조열제, Haiyun Zhou대한수학회 · 대한수학회논문집2006 · 제21권 제2호Ishikawa Iterative Sequence with Errors for $\varphi$-Strongly Accretive OperatorsYongjin Li대한수학회 · 대한수학회논문집2005 · 제20권 제1호Ishikawa Iterative Process with Errors for Strongly Pseudo-contractive Mappings in Banach SpacesYongjin Li대한수학회 · 대한수학회논문집2004 · 제19권 제3호Iterative approximation of fixed points for $\phi$-hemicontractive operators in Banach spacesShin Min Kang, Yanjuan Li, Zeqing Liu, Zhefu An대한수학회 · 대한수학회논문집2004 · 제19권 제1호Iterative approximation of fixed points for strongly pseudo-contractive mappingsBhavana Deshpande, Sushil Sharma대한수학회 · 대한수학회보2002 · 제39권 제1호Almost stability of Ishikawa iterative schemes with errors for $\phi$-strongly quasi-accretive and $\phi$-hemicontractive operatorsJong Kyu Kim, Shin Min Kang, Zeqing Liu대한수학회 · 대한수학회논문집2004 · 제19권 제2호

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