Composite Implicit General Iterative Process for a Nonexpansive Semigroup in Hilbert Space
نویسندگان
چکیده
Let C be nonempty closed convex subset of real Hilbert space H. Consider C a nonexpansive semigroup I {T s : s ≥ 0}with a common fixed point, a contraction f with coefficient 0 < α < 1, and a strongly positive linear bounded operator A with coefficient γ > 0. Let 0 < γ < γ/α. It is proved that the sequence {xn} generated iteratively by xn I − αnA 1/tn ∫ tn 0 T s ynds αnγf xn , yn I − βnA xn βnγf xn converges strongly to a common fixed point x∗ ∈ F I which solves the variational inequality 〈 γf −A x∗, z − x∗〉 ≤ 0 for all z ∈ F I .
منابع مشابه
A composite explicit iterative process with a viscosity method for Lipschitzian semigroup in a smooth Banach space
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