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

被引:2
|
作者
Ansari, Qamrul Hasan [1 ]
Rehan, Aisha [1 ]
Wen, Ching-Feng [2 ,3 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India
[2] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 807, Taiwan
[3] Kaohsiung Med Univ, Ctr Nonlinear Anal & Optimizat, Kaohsiung 807, Taiwan
关键词
split hierarchical variational inequality problems; fixed point problems; iterative method; nonexpansive mappings; convergence analysis; ITERATIVE METHODS; FEASIBILITY;
D O I
10.1186/s13660-015-0793-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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.
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页数:16
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