Implicit General Iterative Process for Nonexpansive Semigroups in Hilbert Space
Lihua Li · 2008
Let H be real Hilbert space.Consider on H a nonexpansive semigroup f={T(s):s≥0} with a common fixed point,a contraction f with coeffic ient 0α1,and a strongly positive linear bounded operator A with coefficient γ0.Let 0γ/α.It is proved that the sequence {xn} generated iteratively by converges strongly to a common fixed point x∈F(T)which solves the variational inequality 〈(γf-A)x,z-x≤0 for z∈F(T).