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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 667 - 678 (12page)
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The aim of this paper is to prove strong convergence theorem by a modi¯ed three step iterative process with errors for three nonexpansive mappings in the frame work of uniformly smooth Banach spaces. The main feature of this scheme is that its special cases can handle both strong convergence like Halpern type and weak convergence like Ishikawa type iteration schemes. Our result extend and generalize the result of S. H. Khan [10], Kim and Xu [12] and many other authors.
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참고문헌 (22)
참고문헌 신청
B. Halpern / 1967 / Fixed points of nonexpansive maps / Bull. Amer. Math. Soc 73 : 957 ~ 961
B. L. Xu. / 2002 / Fixed point iterations for asymptotically nonexpansive mappings in Banach spaces / J. Math. Anal. Appl 267 : 444 ~ 453
F. E. Browder / 1967 / Convergence of approximations to ?xed points of nonexpansive map-pings in Banach spaces / Arch. Rational Mech. Anal 24 : 82 ~ 90
G. Das. / 1986 / Fixed points of quasi-nonexpansive mappings / Indian J. Pure Appl. Math 17 : 1263 ~ 1269
H. K. Xu / 2002 / Iterative algorithms for nonlinear operators / J. London Math. Soc 66 : 240 ~ 256
B. L. Xu. / 2002 / Fixed point iterations for asymptotically nonexpansive mappings in Banach spaces / J. Math. Anal. Appl 267 : 444 ~ 453
F. E. Browder / 1967 / Convergence of approximations to ?xed points of nonexpansive map-pings in Banach spaces / Arch. Rational Mech. Anal 24 : 82 ~ 90
G. Das. / 1986 / Fixed points of quasi-nonexpansive mappings / Indian J. Pure Appl. Math 17 : 1263 ~ 1269
H. K. Xu / 2002 / Iterative algorithms for nonlinear operators / J. London Math. Soc 66 : 240 ~ 256
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