Weak convergence theorem for finding common fixed points of a families of nonexpansive mappings and a nonspreading mapping in Hilbert spaces
Somyot Plubtieng · Progress in Applied Science and Technology · 2011
In this paper, we introduce an iterative method and prove a weak con- vergence theorem for finding common fixed points of a families of nonexpansive mappings and a nonspreading mapping in Hilbert spaces. Moreover, we apply our result to finding common element of a solution set of equilibrium problem with a relaxed monotone mapping and a common fixed point set nonspreading mappings. Using the result, we improve and unify several results in fixed point problems and equilibrium problems.