Composite Implicit General Iterative Process for a Nonexpansive Semigroup in Hilbert Space
Lihua Li, Suhong Li, Yongfu Su · Fixed Point Theory and Applications · 2008
Abstract Let "Equation missing" be nonempty closed convex subset of real Hilbert space "Equation missing". Consider "Equation missing" a nonexpansive semigroup "Equation missing" with a common fixed point, a contraction "Equation missing" with coefficient "Equation missing", and a strongly positive linear bounded operator "Equation missing" with coefficient "Equation missing". Let "Equation missing". It is proved that the sequence "Equation missing" generated iteratively by "Equation missing" converges strongly to a common fixed point "Equation missing" which solves the variational inequality "Equation missing" for all "Equation missing".