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Strong convergence theorems on viscosity approximation methods for
finite nonexpansive mappings are established in Banach spaces. The main theorem generalize the corresponding result of Kim and Xu [10] to the viscosity approximation method for finite nonexpansive mappings in a reflexive Banach space having a uniformly Gateaux differentiable norm. Our results also improve the corresponding results of [7, 8, 19, 20].
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참고문헌 (20)
참고문헌 신청
A. Mouda? / 2000 / Viscosity approximation methods for ?xed-points problems / J. Math. Anal. Appl 241 : 46 ~ 55
C. Byne / 2004 / A uni?ed treatment of some iterative algorithms in signal processing and image reconstruction / Inverse Problem 20 : 103 ~ 120
C.E. Chidume / 1998 / Global iteration schemes for strongly pseudo-contractive maps / Proc. Amer. Math. Soc 126 : 2641 ~ 2649
C.J. Podilchuk / 1990 / Image recovery by convex projecting using a least- squares constraint / J. Opt. Soc. Am A 7 : 517 ~ 521
H.K. Xu / 2004 / Viscosity approximation methods for nonexpansive mappings / J. Math. Anal. Appl 298 : 279 ~ 291
C. Byne / 2004 / A uni?ed treatment of some iterative algorithms in signal processing and image reconstruction / Inverse Problem 20 : 103 ~ 120
C.E. Chidume / 1998 / Global iteration schemes for strongly pseudo-contractive maps / Proc. Amer. Math. Soc 126 : 2641 ~ 2649
C.J. Podilchuk / 1990 / Image recovery by convex projecting using a least- squares constraint / J. Opt. Soc. Am A 7 : 517 ~ 521
H.K. Xu / 2004 / Viscosity approximation methods for nonexpansive mappings / J. Math. Anal. Appl 298 : 279 ~ 291
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