An approximation method for strictly pseudocontractive mappings

作者：Chen RD^*; Lin PK; Song YS

来源：Nonlinear Analysis-Theory Methods & Applications, 2006, 64(11): 2527-2535.

DOI：10.1016/j.na.2005.08.031

• strictly pseudocontractive mapping
• strongly pseudocontractive mapping
• viscosity approximation
• fixed point

Let K be a closed convex subset of a q-uniformly smooth separable Banach space, T : K -> K a strictly pseudocontractive mapping, and f : K -> K an L-Lispschitzian strongly pseudocontractive mapping. For any t is an element of (0, 1), let x(t) be the unique fixed point of tf + (1 - t)T. We prove that if T has a fixed point, then {x(t)} converges to a fixed point of T as t approaches to 0.

• 出版日期2006-6-1
• 单位天津工业大学