Convergence of iterative algorithms for continuous pseudocontractive mappings

Jong Jung
2016 Filomat  
In this paper, we prove strong convergence of a path for a convex combination of a pseudocontractive type of operators in a real reflexive Banach space having a weakly continuous duality mapping J ϕ with gauge function ϕ. Using path convergency, we establish strong convergence of an implicit iterative algorithm for a pseudocontractive mapping combined with a strongly pseudocontractive mapping in the same Banach space.
doi:10.2298/fil1607767j fatcat:pox7bbwskvgftp5zck56xfvvpy