An iterative algorithm based on the hybrid steepest descent method for strictly pseudocontractive mappings

作者：Jung Jong Soo^*

来源：Journal of Computational Analysis and Applications, 2015, 18(5): 904-917.

• Iterative algorithm
• Strictly pseudocontractive mapping
• Fixed points
• Weakly asymptotically regular
• rho-Lipschitzian and eta-strongly monotone operator
• Variational inequality

In this paper, we consider a general iterative method based on the hybrid steepest descent method for finding fixed points of a strictly pseudocontractive mapping in a Hilbert space. Utilizing weaker control conditions than previous ones, we establish the strong convergence of the sequence generated by the proposed iterative method to a fixed point of the mapping, which is the unique solution of a certain variational inequality.

• 出版日期2015-5