A general composite steepest-descent method for hierarchical fixed point problems of strictly pseudocontractive mappings in Hilbert spaces

作者：Ceng, Lu-Chuan; Wen, Ching-Feng^*

来源：Journal of Nonlinear Sciences and Applications, 2016, 9(12): 6274-6293.

DOI：10.22436/jnsa.009.12.30

• General composite steepest-descent method
• strictly pseudocontractive mapping
• hierarchical fixed point problem
• demiclosedness principle
• nonexpansive mapping
• fixed point

In this paper, we propose general composite implicit and explicit steepest-descent schemes for hierarchical fixed point problems of strictly pseudocontractive mappings in a real Hilbert space. These composite steepest-descent schemes are based on the well-known viscosity approximation method, hybrid steepest descent method and strongly positive bounded linear operator approach. We obtain some strong convergence theorems under suitable conditions. Our results supplement and develop the corresponding ones announced by some authors recently in this area.

• 出版日期2016
• 单位上海师范大学