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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
오류제보하기
Let H be a real Hilbert space and S = {T(s) : 0 ≤ s < ∞} be a nonexpansive semigroup on H such that F(S) ≠= 0. For a contraction f with coefficient 0 < α < 1, a strongly positive bounded linear operator A with coefficient [수식]. Let [수식]. It is proved that the sequences {xt} and {xn} generated by the iterative method
[수식] and [수식] where {t}, {αn} ⊂ (0, 1) and {λt}, {tn} are positive real divergent sequences, converges strongly to a common fixed point x ∈ F(S) which
solves the variational inequality <(γf − A)˜x, x − ˜x> ≤ 0 for x ∈ F(S).
목차
등록된 정보가 없습니다.
참고문헌 (17)
참고문헌 신청
A. Moudafi / 2000 / Viscosity approximation methods for fixed-points problems / Journal of Mathematical Analysis and Applications 241 (1) : 46 ~ 55
F. Deutsch / 1998 / Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings / Numerical Functional Analysis and Optimizatio
F. E. Browder / 1967 / Convergence of approximants to fixed points of nonexpansive non-linear mappings in Banach spaces / Archive for Rational Mechanics and Analysis 24 : 82
G. Marino / 2006 / A general iterative method for nonexpansive mappings in Hilbert spaces / Journal of Mathematical Analysis and Applications 318 (1) : 43 ~ 52
H. K. Xu / 2002 / Iterative algorithms for nonlinear operators / Journal of the London Mathematical Society 66 (1) : 240 ~ 256
F. Deutsch / 1998 / Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings / Numerical Functional Analysis and Optimizatio
F. E. Browder / 1967 / Convergence of approximants to fixed points of nonexpansive non-linear mappings in Banach spaces / Archive for Rational Mechanics and Analysis 24 : 82
G. Marino / 2006 / A general iterative method for nonexpansive mappings in Hilbert spaces / Journal of Mathematical Analysis and Applications 318 (1) : 43 ~ 52
H. K. Xu / 2002 / Iterative algorithms for nonlinear operators / Journal of the London Mathematical Society 66 (1) : 240 ~ 256
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