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

被引:0
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作者
Qamrul Hasan Ansari
Aisha Rehan
Ching-Feng Wen
机构
[1] Aligarh Muslim University,Department of Mathematics
[2] Kaohsiung Medical University,Center for Fundamental Science
[3] Kaohsiung Medical University,Center for Nonlinear Analysis and Optimization
关键词
split hierarchical variational inequality problems; fixed point problems; iterative method; nonexpansive mappings; convergence analysis; 49J40; 49J52; 47J20;
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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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