Iterative algorithms for common elements in fixed point sets and zero point sets with applications

作者：Zhang, Mingliang^*

来源：Fixed Point Theory and Applications, 2012, 1-14.

DOI：10.1186/1687-1812-2012-21

• equilibrium problem
• variational inequality
• strictly pseudocontractive mapping
• nonexpansive mapping
• inverse-strongly monotone mapping

In this study, Mann-type iterative process is considered for finding a common element in the fixed point set of strict pseudocontractions and in the zero point set of the operator which is the sum of inverse strongly- monotone operators and maximal monotone operators. Weak convergence theorems of common elements are established in the framework of Hilbert spaces. Some applications of main results are also provided.

• 出版日期2012
• 单位河南大学