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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 685 - 703 (19page)
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Motivated and inspired by ideas due to Matsushida and Takahashi [J. Approx.
Theory 134(2005), 257-266] and Martinez-Yanes and Xu [Nonlinear Anal. 64(2006), 2400- 2411], we prove some strong convergence theorems of modified iteration processes for a pair (or finite family) of relatively nonexpansive mappings in Banach spaces, which improve and extend the corresponding results of Matsushida and Takahashi and Martinez-Yanes and Xu in Banach and Hilbert spaces, repectively.
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참고문헌 (27)
참고문헌 신청
. Butnariu / 2003 / Weak convergence of orbits of nonlinear operators in reflexive Banach spaces / Numer. Funct. Anal. Optim 24 : 489 ~ 508
A. Genel / 1975 / An example concerning fixed points / Israel J. Math 22 : 81 ~ 86
B. Halpern / 1967 / Fixed points of nonexpanding maps / Bull. Amer. Math. Soc 73 : 957 ~ 961
C. E. Chidume / 2001 / An example on the Mann iteration method for Lipschitz pseudocontractions / Proc. Amer. Math. Soc 129 : 2359 ~ 2363
C. Martinez-Yanes / 2006 / Strong convergence of the CQ method for fixed point iteration processes / Nonlinear Anal 64 : 2400 ~ 2411
A. Genel / 1975 / An example concerning fixed points / Israel J. Math 22 : 81 ~ 86
B. Halpern / 1967 / Fixed points of nonexpanding maps / Bull. Amer. Math. Soc 73 : 957 ~ 961
C. E. Chidume / 2001 / An example on the Mann iteration method for Lipschitz pseudocontractions / Proc. Amer. Math. Soc 129 : 2359 ~ 2363
C. Martinez-Yanes / 2006 / Strong convergence of the CQ method for fixed point iteration processes / Nonlinear Anal 64 : 2400 ~ 2411
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