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\(A\)-monotonicity and its role in nonlinear variational inclusions. (English) Zbl 1123.49007

Summary: The notion of \(A\)-monotonicity in the context of solving a new class of nonlinear variational inclusion problems is presented. Since \(A\)-monotonicity generalizes not only the well-explored maximal monotone mapping, but also a recently introduced and studied notion of \(H\)-monotone mapping, the results thus obtained are general in nature.

MSC:

49J40 Variational inequalities
47H05 Monotone operators and generalizations
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