Subdifferentials at infinity and applications in optimization
成果类型：
Article; Early Access
署名作者：
Kim, Do Sang; Nguyen, Minh Tung; Pham, Tien-Son
署名单位：
Pukyong National University; Ho Chi Minh University of Banking (HUB); Dalat University
刊物名称：
MATHEMATICAL PROGRAMMING
ISSN/ISSBN：
0025-5610
DOI：
10.1007/s10107-024-02187-9
发表日期：
2025
关键词：
摘要：
In this work, the notions of normal cones at infinity to unbounded sets and limiting and singular subdifferentials at infinity for extended real value functions are introduced. Various calculus rules for these notions are established. A complete characterization of the Lipschitz continuity at infinity for lower semicontinuous functions is given. The obtained results are aimed ultimately at applications to diverse problems of optimization, such as optimality conditions, coercive properties, weak sharp minima and stability results.
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