Alternative Iterative Methods for Nonexpansive Mappings, Rates of Convergence and Applications

作者：Colao Vittorio^*; Leustean Laurentiu; Lopez Genaro; Martin Marquez Victoria

来源：Journal of Convex Analysis, 2011, 18(2): 465-487.

• Nonexpansive mapping
• iterative algorithm
• fixed point
• viscosity approximation
• uniformly smooth Banach space
• rates of asymptotic regularity
• proof mining
• variational inequality
• accretive operator

Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational inequality. Rates of asymptotic regularity for such iterations are given using proof-theoretic techniques. Some applications of the convergence results are presented.

• 出版日期2011