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Stability of new implicit iteration procedures for a class of nonlinear set-valued mixed variational inequalities. (English) Zbl 1033.49009

Summary: We develop some new implicit iteration procedures for solving a class of nonlinear set-valued mixed variational inequalities. We also introduce a concept of stability of implicit iteration procedures and discuss the convergence and stability of the iterative sequences generated by the algorithms. The results presented in this paper extend and improve the corresponding results of N.-J. Huang [ZAMM, Z. Angew. Math. Mech. 78, 427–430 (1998; Zbl 0901.49009)].

MSC:

49J40 Variational inequalities
65K05 Numerical mathematical programming methods
49J53 Set-valued and variational analysis

Citations:

Zbl 0901.49009
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