An inertial proximal scheme for nonmonotone mappings

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:350

Article

Geoffroy, Michel H.

关键词: Set-valued mapping;    Metric regularity;    Subregularity;    Strong regularity;    Generalized equations;    Successive approximation;    Variational convergences;   

DOI  :  10.1016/j.jmaa.2008.09.030

来源: Elsevier

【 摘 要 】

We present an inertial proximal method for solving an inclusion involving a nommonotone set-valued mapping enjoying some regularity properties. More precisely, we investigate the local convergence of an implicit scheme for solving inclusions of the type T(x) (sic) 0 where T is a set-valued mapping acting from a Banach space into itself. We consider subsequently the case when T is strongly metrically subregular, metrically regular and strongly regular around a solution to the inclusion. Finally, we Study the convergence Of Our algorithm under variational perturbations. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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