A general iterative scheme for k-strictly pseudo-contractive mappings and optimization problems

作者：Jung Jong Soo^*

来源：Applied Mathematics and Computation, 2011, 217(12): 5581-5588.

DOI：10.1016/j.amc.2010.12.034

• k-strictly pseudo-contractive mapping
• Nonexpansive mapping
• Fixed points
• Contraction
• Optimization problem
• Strongly positive bounded linear operator

In this paper, we introduce a new general iterative scheme for finding fixed points of a strictly pseudo-contractive mapping and then prove that the sequence generated by the proposed iterative scheme converges strongly to a fixed point of the mapping, which is a solution of a certain optimization problem related to a strongly positive bounded linear operator. Additional results of the main result are also obtained.

• 出版日期2011-2-15