Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614528 | Journal of Mathematical Analysis and Applications | 2016 | 11 Pages |
Abstract
In this article, we refine and slightly strengthen the metric space version of the Borwein–Preiss variational principle due to Li and Shi (2000) [12], clarify the assumptions and conclusions of their Theorem 1 as well as Theorem 2.5.2 in Borwein and Zhu (2005) [4] and streamline the proofs. Our main result, Theorem 3 is formulated in the metric space setting. When reduced to Banach spaces (Corollary 9), it extends and strengthens the smooth variational principle established in Borwein and Preiss (1987) [3] along several directions.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
A.Y. Kruger, S. Plubtieng, T. Seangwattana,