On a Two-Step Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities
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چکیده
A common method in solving ill-posed problems is to substitute the original problem by a family of well-posed i.e., with a unique solution regularized problems. We will use this idea to define and study a two-step algorithm to solve hierarchical fixed point problems under different conditions on involved parameters. We will see that choosing appropriate hypotheses on the parameters, we will obtain convergence to the solution of well-posed problems. Changing these assumptions, we will obtain convergence to one of the solutions of a ill-posed problem. The results are situaded on the lines of research of Byrne 1 , Yang and Zhao 2 , Moudafi 3 , and Yao and Liou 4 . In this paper, we consider variational inequalities of the form
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تاریخ انتشار 2009