Split hierarchical variational inequality problems and fixed point problems for nonexpansive mappings

Journal of inequalities and applications

Qamrul Hasan Ansari¹ 

关键词: split hierarchical variational inequality problems;    fixed point problems;    iterative method;    nonexpansive mappings;    convergence analysis;    49J40;    49J52;    47J20;   

DOI  :  10.1186/s13660-015-0793-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The present paper deals with the common solution method for finding a fixed point of a nonexpansive mapping and a solution of split hierarchical Minty variational inequality problems. We discuss the weak convergence of the sequences generated by the proposed method to a common solution of a fixed point problem and a split hierarchical Minty variational inequality problem. An example is presented to illustrate the proposed algorithm and result.

【 授权许可】

CC BY