Iterative algorithm for generalized set-valued strongly nonlinear mixed variational-like inequalities. (English) Zbl 1067.49007

Summary: The auxiliary principle technique is extended to study the generalized strongly nonlinear mixed variational-like inequality problem for set-valued mappings without compact values. We establish first the existence of a solution of the related auxiliary problem. Then, the iterative algorithm for solving that problem is given by using this existence result. Moreover, the existence of a solution of the original problem and the convergence of iterative sequences generated by the algorithm are both derived.


49J40 Variational inequalities
49J53 Set-valued and variational analysis
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