{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,26]],"date-time":"2026-09-26T00:42:26Z","timestamp":1790383346580,"version":"4.1.0"},"reference-count":7,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,7]]},"abstract":"<jats:p>Necessary conditions of the existence of the smallest set-valued iterative root of a given bijection f are found. They are also sufficient for f to have a unique \"real\" iterative root.<\/jats:p>","DOI":"10.1142\/s0218127403007710","type":"journal-article","created":{"date-parts":[[2003,8,28]],"date-time":"2003-08-28T09:49:31Z","timestamp":1062064171000},"page":"1889-1893","source":"Crossref","is-referenced-by-count":8,"title":["On the Smallest Set-Valued Iterative Roots of Bijections"],"prefix":"10.1142","volume":"13","author":[{"given":"Witold","family":"Jarczyk","sequence":"first","affiliation":[{"name":"Institute of Mathematics, University of Zielona G\u00f3ra, Podg\u00f3rna 50, PL-65-246 Zielona G\u00f3ra, Poland"},{"name":"Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007 Katowice, Poland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tomasz","family":"Powier\u017ca","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007 Katowice, Poland"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Introduction to Number Theory","author":"Hua L. K.","year":"1982"},{"key":"rf2","first-page":"377","volume":"47","author":"Powier\u017ca T.","journal-title":"Bull. Pol. Ac.: Math."},{"key":"rf3","first-page":"51","volume":"344","author":"Powier\u017ca T.","journal-title":"Grazer Math. Ber."},{"key":"rf4","doi-asserted-by":"crossref","first-page":"315","DOI":"10.5486\/PMD.2002.2555","volume":"61","author":"Powier\u017ca T.","journal-title":"Publ. Math. Debrecen"},{"key":"rf5","volume-title":"Topics in Iteration Theory","author":"Targonski Gy.","year":"1981"},{"key":"rf6","first-page":"51","volume":"229","author":"Targonski Gy.","journal-title":"Grazer Math. Ber."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01831113"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403007710","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,13]],"date-time":"2024-12-13T16:12:16Z","timestamp":1734106336000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403007710"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,7]]},"references-count":7,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,7]]}},"alternative-id":["10.1142\/S0218127403007710"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403007710","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,7]]}}}