Implicit eigenvalue problems for maximal monotone operators
نویسنده
چکیده
where T is a maximal monotone multi-valued operator and the operator C satisfies condition (S+) or (S̃+). In a regularization method by the duality operator, we use the degree theories of Kartsatos and Skrypnik upon conditions of C as well as Browder’s degree. There are two cases to consider: One is that C is demicontinuous and bounded with condition (S+); and the other is that C is quasibounded and densely defined with condition (S̃+). Moreover, the eigenvalue problem 0 ∈ Tx + λCx is also discussed.
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