Abstract
Let a reflexive Banach space having a uniformly Gâteaux differentiable norm. Let be a nonempty closed convex subset of , a continuous pseudocontractive mapping with , and a continuous bounded strongly pseudocontractive mapping with a pseudocontractive constant . Let and be sequences in satisfying suitable conditions and for arbitrary initial value , let the sequence be generated by If either every weakly compact convex subset of has the fixed point property for nonexpansive mappings or is strictly convex, then converges strongly to a fixed point of , which solves a certain variational inequality related to .
Citation
Jong Soo Jung. "Iterative Methods for Pseudocontractive Mappings in Banach Spaces." Abstr. Appl. Anal. 2013 (SI01) 1 - 7, 2013. https://doi.org/10.1155/2013/643602