A GENERAL VISCOSITY APPROXIMATION METHOD OF FIXED POINT SOLUTIONS OF VARIATIONAL INEQUALITIES FOR NONEXPANSIVE SEMIGROUPS IN HILBERT SPACES

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 ≤ 0 for x ∈ F(S). KCI Citation Count: 4