논문KCI 등재
Iterative Approximations of Zeroes for Accretive Operators in Banach Spaces
대한수학회 (The Korean Mathematical Society)|2006.04|대한수학회논문집 (Communications of the KMS)|제21권 제2호|pp. 237-251
2
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper, we introduce and study a new iterativealgorithm for approximating zeroes of accretive operators inBanach spaces.
참고문헌 (19)
- "Produits infinis de resolvants"
- "\ref\key 2\by F. E. Browder\paper Semicontractive andsemiaccretive nonlinear mappings in Banach spaces\jour Bull. Amer.Math. Soc. \vol 74\yr 1968\page 660--665\endref"
- "\ref\key 3 \by R. E. Bruck and G. B. Passty\paper Almostconvergence of the infinite product of resolvents in Banachspaces\jour Nonlinear Anal.\vol 3\yr 1979\page 279--282\endref"
- "\ref\key 4 \by R. E. Bruck and S. Reich\paper Nonexpansiveprojections and resolvents of accretive operators in Banach spaces\jour Houston J. Math.\vol 3\yr 1977\page 459--470\endref"
- "\ref\key 5 \by B. Halpern \paper Fixed points of nonexpansivemaps\jour Bull. Amer. Math. Soc. \vol 73\yr 1967\page957--961\endref"
- "Dual convergence theorems for the infinite products of resolvents in Banach spaces" (1991)
- "Iterative schemes for approximating solutions of relations involving accretive operators in Banach spaces" (2003), Nova Science Publishers Inc.
- "Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive mappings in Banach spaces" (1995)
- "\ref\key 11 \by O. Nevanlinna and S. Reich\paper Strongconvergence of contraction semigroups and of iterative methods foraccretive operators in Banach spaces\jour Israel J. Math.\vol32\yr 1979\page 44--58\endref"
- "\ref\key 12\by Z. Opial\paper Weak convergence of the sequence ofsuccessive approximations for nonexpansive mappings\jour Bull.Amer. Math. Soc.\vol 73\yr 1967\page 591--597\endref"
- "\ref\key 13\by A. Pazy\paper Remarks on nonlinear ergodic theoryin Hilbert spaces\jour Nonlinear Anal.\vol 6\yr1979\page863--871\endref"
- "\ref\key 14\by S. Reich\paper On infinite products ofresolvents\jour Atti Acad. Naz. Lincei\vol 63\yr 1977\page338--340\endref"
- "\ref \key 15 \bysame \paper Weak convergence theorems forresolvents of accretive operators in Banach spaces\jour J. Math.Anal. Appl. \vol 67 \yr 1979\page 274--276\endref"
- "\ref\key 16\bysame \paper Strong convergence theorems forresolvents of accretive operators in Banach spaces\jour J. Math.Anal. Appl.\vol 75\yr 1980\page 287--292\endref"
- "hskip-0.02cm Nonlinear Functional Analysis hskip-0.02cm" (1988)
- "Fixed point theorems and nonlinear ergodic theorems for nonlinear semigroups and their applications" (1997)
- "Fixed point theorems, convergence theorems and their applications" (1999)
- "Approximating fixed points of nonexpansive mappings in Banach spaces" (1998)
- "On Reich's strong convergence theorems for resolve of accretive operators" (1984)
관련 논문AI추천
New Iterative Process for The Equation Involving Strongly Accretive Operators in Banach Spaces김종규, Jun Li, Ling-yan Zeng대한수학회 · 대한수학회보2007 · 제44권 제4호Iterative approximation of fixed points for $\phi$-hemicontractive operators in Banach spacesShin Min Kang, Yanjuan Li, Zeqing Liu, Zhefu An대한수학회 · 대한수학회논문집2004 · 제19권 제1호New iterative algorithms for zeros of accretive operatorsYisheng Song대한수학회 · 대한수학회지2009 · 제46권 제1호Ishikawa Iterative Sequence with Errors for $\varphi$-Strongly Accretive OperatorsYongjin Li대한수학회 · 대한수학회논문집2005 · 제20권 제1호Iterative algorithms with errors for nonexpansive mappings in Banach spaces정종수대한수학회 · 대한수학회보2006 · 제43권 제4호Iterative approximation of fixed points for strongly pseudo-contractive mappingsBhavana Deshpande, Sushil Sharma대한수학회 · 대한수학회보2002 · 제39권 제1호
이 간행물의 다른 논문 (16건)
On the Axiom of choice of weak topos ${\Cal Fuz}$김익성pp. 211-217Factor Rank Comparisons of Matrices over Two Related Semirings송석준pp. 219-226Derivations of a restricted Weyl Type Algebra on a Laurent Extension최설희pp. 227-236A characterization of local resolvent sets한혁, 유종광pp. 253-259On a generalized difference sequence spaces defined by a modulus function and statistical convergenceAhmad H. A. Batainehpp. 261-272
