Strong convergence theorems for equilibrium problems and quasi-- asymptotically nonexpansive mappings in Banach spaces.
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...