Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems

作者：Kangtunyakarn Atid^*

来源：Fixed Point Theory and Applications, 2011, 2011(1): 38.

DOI：10.1186/1687-1812-2011-38

• nonexpansive mapping
• strict pseudo contraction
• strongly positive operator
• variational inclusion problem
• fixed point

In this article, we introduce a new mapping generated by infinite family of nonexpansive mapping and infinite real numbers. By means of the new mapping, we prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of nonexpansive mappings and the set of a finite family of variational inclusion problems in Hilbert space. In the last section, we apply our main result to prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of strictly pseudo-contractive mappings and the set of finite family of variational inclusion problems.

• 出版日期2011