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On a class of nonlinear variational inequalities involving partially relaxed monotone and partially strongly monotone mappings. (English) Zbl 1054.49010

Summary: Based on an iterative algorithm characterized as a variational inequality, the approximation-solvability of a class of nonlinear variational inequalities involving a class of partially relaxed monotone mappings – a computation-oriented class – is discused.

MSC:

49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)
47J25 Iterative procedures involving nonlinear operators
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