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In this paper, we introduce two general iterative algorithms (one implicit algorithm and other explicit algorithm) for nonexpansive mappings in a reflexive Banach space with a uniformly G\^ateaux differentiable norm. Strong convergence theorems for the sequences generated by the proposed algorithms are established.
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참고문헌 (16)
참고문헌 신청
A. Moudafi / 2000 / Viscosity approximation methods for fixed-points problems / J. Math. Anal. Appl 241 (1) : 46 ~ 55
F. E. Browder / 1965 / Fixed point theorems for noncompact mappings in Hilbert spaces / Proc. Natl. Acad. Sci. U.S.A 532 : 1272 ~ 1276
G. Cai / 2010 / Strong convergence theorems of a general iterative process for a finite family of λi pseudocontraction in q-uniforly smooth Banach spaces / Comput. Math. App
G. Marino / 2006 / A general iterative method for nonexpansive mappings in Hilbert spaces / J. Math. Anal. Appl 318 (1) : 43 ~ 52
H. K. Xu / 2002 / Iterative algorithms for nonlinear operators / J. London Math. Soc 66 (1) : 240 ~ 256
F. E. Browder / 1965 / Fixed point theorems for noncompact mappings in Hilbert spaces / Proc. Natl. Acad. Sci. U.S.A 532 : 1272 ~ 1276
G. Cai / 2010 / Strong convergence theorems of a general iterative process for a finite family of λi pseudocontraction in q-uniforly smooth Banach spaces / Comput. Math. App
G. Marino / 2006 / A general iterative method for nonexpansive mappings in Hilbert spaces / J. Math. Anal. Appl 318 (1) : 43 ~ 52
H. K. Xu / 2002 / Iterative algorithms for nonlinear operators / J. London Math. Soc 66 (1) : 240 ~ 256
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