An iterative algorithm to approximate a common element of the set of common fixed points for a finite family of strict pseudo-contractions and of the set of solutions for a modified system of variational inequalities

作者：Kangtunyakarn Atid^*

来源：Fixed Point Theory and Applications, 2013, 2013(1): 143.

DOI：10.1186/1687-1812-2013-143

• pseudo-contractive mapping
• modification of a general system of variational inequalities
• S-mapping

In this paper, we introduce a new iterative algorithm for finding a common element of the set of fixed points of a finite family of kappa(i)-strictly pseudo-contractive mappings and the set of solutions of new variational inequalities problems in Hilbert space. By using our main results, we obtain an interesting theorem involving a finite family of kappa-strictly pseudo-contractive mappings and two sets of solutions of the variational inequalities problem.

• 出版日期2013