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Some examples are also given for illustrating the obtained results.<\/jats:p>","DOI":"10.1051\/ro\/2022062","type":"journal-article","created":{"date-parts":[[2022,5,6]],"date-time":"2022-05-06T07:54:50Z","timestamp":1651823690000},"page":"1373-1395","source":"Crossref","is-referenced-by-count":2,"title":["On second-order radial-asymptotic proto-differentiability of the borwein perturbation maps"],"prefix":"10.1051","volume":"56","author":[{"given":"Thanh-Hung","family":"Pham","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thanh-Sang","family":"Nguyen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"250","published-online":{"date-parts":[[2022,6,2]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1007\/s11117-016-0418-0","volume":"21","author":"Anh","year":"2017","journal-title":"Positivity"},{"key":"R2","doi-asserted-by":"crossref","first-page":"1527","DOI":"10.1007\/s11117-017-0483-z","volume":"21","author":"Anh","year":"2017","journal-title":"Positivity"},{"key":"R3","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1007\/s40314-019-0923-4","volume":"38","author":"Anh","year":"2019","journal-title":"Comput. 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