논문KCI 등재
Convergence of Ishikawa iteration with error terms on an arbitrary interval
대한수학회 (The Korean Mathematical Society)|2011.04|대한수학회논문집 (Communications of the KMS)|제26권 제2호|pp. 229-235
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참고문헌
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초록
In this paper, a continuous real function on the real line is considered. The necessary and sufficient conditions for the convergence of the Ishikawa iteration with error terms for the functional are obtained.
Abstract
In this paper, a continuous real function on the real line is considered. The necessary and sufficient conditions for the convergence of the Ishikawa iteration with error terms for the functional are obtained.
참고문헌 (6)
- D. Borwein, "point iterations for real functions", J. Math. Anal. Appl, 157(1), pp.112~126 (1991)
- R. L. Franks, "A theorem on mean value iterations", Proc. Amer. Math. Soc, 30, pp.324~326 (1971)
- S. Ishikawa, "Fixed points by a new iteration method", Proc. Amer. Math. Soc, 44, pp.147~150 (1974)
- W. R. Mann, "Mean value methods in iteration", Proc. Amer. Math. Soc, 4, pp.506~510 (1953)
- Y. Qing, "The necessary and sufficient condition for the convergence of Ishikawa iteration on an arbitrary interval", J. Math. Anal. Appl, 323(2), pp.1383~1386 (2006)
- B. E. Rhoades, "Fixed point iterations using in nite matrices", Trans. Amer. Math. Soc, 196, pp.161~176 (1974)
관련 논문AI추천
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