Nearness of nonlinear operators

Autor: Yiannis Karagiorgos, Dimosthenis Drivaliaris, Nikos Yannakakis
Rok vydání: 2020
Předmět:
Zdroj: Rendiconti del Circolo Matematico di Palermo Series 2. 70:1051-1060
ISSN: 1973-4409
0009-725X
DOI: 10.1007/s12215-020-00542-1
Popis: Nearness of an operator A to an operator B, which was introduced by Campanato, yields existence and uniqueness results for operator equations involving A exploiting the solvability of the same equations for B. In this paper we introduce the notion of a-nearness between Banach valued operators which is significantly weaker than nearness, but still adequate to yield similar results. We also present an application to a nonlinear second order differential operator with no variational structure.
Databáze: OpenAIRE
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