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• W2091235278 abstract "Let E be a uniformly convex Banach space with a uni- formly Gateaux differentiable norm, C be a nonempty closed convex subset of E and f : C → C be a fixed bounded continuous strong pseudocontraction with the coefficient α ∈ (0, 1). Let {λt }0<t<1 be a net of positive real numbers such that limt→0 λt = ∞ and S = {T (s) : 0 ≤ s < ∞} be a nonexpansive semigroup on C such that F (S) = ∅, where F (S) denotes the set of fixed points of the semigroup. Then sequence {xt } defined by $s_t=tf(x_t)+(1-t)frac{1}{lambda_t}int_0 ^{lambda_t}T(s)x_tds$ converges strongly as t → 0 to $bar{x}$ ∈ F (S), which solves the following variational inequality $⟨(f − I)bar{x}, p − bar{x}⟩$ ≤0 for all p ∈ F (S)." @default.
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• W2091235278 date "2011-09-30" @default.
• W2091235278 modified "2023-09-23" @default.
• W2091235278 title "STRONG CONVERGENCE OF PATHS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES" @default.
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