A general iterative method with some control conditions for k-strictly pseudo-contractive mappings

作者：Jung Jong Soo^*

来源：Journal of Computational Analysis and Applications, 2012, 14(6): 1165-1177.

• Iterative schemes
• k-strictly pseudo-contractive mapping
• Nonexpansive mapping
• Fixed points
• Contraction
• Weakly asymptotically regular
• Strongly positive linear operator
• Hilbert space
• Variational inequality

In this paper, we consider a general iterative scheme for finding fixed points of k-strictly pseudo-contractive mappings for some 0 <= k < 1 in Hilbert spaces. Then, under weaker control conditions than previous ones, we establish strong convergence of the sequence generated by proposed scheme to a fixed point of the mapping, which is a solution of a certain variational inequality. The main results substantially improve and develop the previous well-known results in this area.

• 出版日期2012-10