Strong convergence theorems for an infinite family of equilibrium problems and fixed point problems for an infinite family of asymptotically strict pseudocontractions.
In this paper, we prove strong convergence theorems of the hybrid projection algorithms for finite family of two hemi-relatively nonexpansive mappings in a Banach space. Using this result, we also discuss the resolvents of two maximal monotone operators in a Banach space. Our results modify and improve the recently ones announced by Plubtieng and Ungchittrakool [Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space, J. Approx. Theory 149 (2007),...
Let be a nonempty closed convex subset of a real Hilbert space such that , a -strict pseudo-contraction for some such that . Consider the following iterative algorithm given by where is defined by , is the metric projection of onto , is a strongly positive linear bounded self-adjoint operator, is a contraction. It is proved that the sequence generated by the above iterative algorithm converges strongly to a fixed point of , which solves a variational inequality related...