{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T05:22:19Z","timestamp":1743139339545,"version":"3.40.3"},"publisher-location":"Singapore","reference-count":11,"publisher":"Springer Singapore","isbn-type":[{"type":"print","value":"9789811668890"},{"type":"electronic","value":"9789811668906"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-981-16-6890-6_80","type":"book-chapter","created":{"date-parts":[[2022,3,5]],"date-time":"2022-03-05T14:02:28Z","timestamp":1646488948000},"page":"1075-1084","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On the Solution of Bush and Wilson\u2019s Stochastic Model for Two-Choice Behavior of the Paradise Fish Approached by the Fixed-Point Method"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5445-9728","authenticated-orcid":false,"given":"Ali","family":"Turab","sequence":"first","affiliation":[]},{"given":"Wutiphol","family":"Sintunavarat","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,3,6]]},"reference":[{"key":"80_CR1","doi-asserted-by":"publisher","first-page":"64","DOI":"10.2969\/jmsj\/00210064","volume":"2","author":"T Aoki","year":"1950","unstructured":"Aoki T (1950) On the stability of the linear transformation in Banach spaces. J Math Soc Jpn 2:64\u201366","journal-title":"J Math Soc Jpn"},{"key":"80_CR2","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1007\/s11784-020-00788-3","volume":"22","author":"A Turab","year":"2020","unstructured":"Turab A, Sintunavarat W (2020) On the solution of the traumatic avoidance learning model approached by the Banach fixed point theorem. J Fixed Point Theory Appl 22:50","journal-title":"J Fixed Point Theory Appl"},{"key":"80_CR3","doi-asserted-by":"publisher","first-page":"133","DOI":"10.4064\/fm-3-1-133-181","volume":"3","author":"S Banach","year":"1922","unstructured":"Banach S (1922) Sur les op\u00e9rations dans les ensembles abstraits et leur applications aux \u00e9quations int\u00e9grales. Fund Math 3:133\u2013181","journal-title":"Fund Math"},{"key":"80_CR4","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1037\/h0044651","volume":"51","author":"AA Bush","year":"1956","unstructured":"Bush AA, Wilson TR (1956) Two-choice behavior of paradise fish. J Exp Psych 51:315\u2013322","journal-title":"J Exp Psych"},{"key":"80_CR5","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1006\/jmaa.1994.1211","volume":"184","author":"P G\u0103vruta","year":"1994","unstructured":"G\u0103vruta P (1994) A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings. J Math Anal Appl 184:431\u2013436","journal-title":"J Math Anal Appl"},{"key":"80_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1790-9","volume-title":"Stability of functional equations in several variables","author":"DH Hyers","year":"1998","unstructured":"Hyers DH, Isac G, Rassias ThM (1998) Stability of functional equations in several variables. Birkh\u00e4user, Boston"},{"issue":"4","key":"80_CR7","first-page":"1983","volume":"18","author":"A Turab","year":"2020","unstructured":"Turab A, Sintunavarat W (2020) On the existence and uniqueness of the solution of a probabilistic functional equation approached by the Banach fixed point theorem. Thai J Math 18(4):1983\u20131994","journal-title":"Thai J Math"},{"key":"80_CR8","doi-asserted-by":"publisher","first-page":"222","DOI":"10.1073\/pnas.27.4.222","volume":"27","author":"DH Hyers","year":"1941","unstructured":"Hyers DH (1941) On the stability of the linear functional equation. Proc Nat Acad Sci USA 27:222\u2013224","journal-title":"Proc Nat Acad Sci USA"},{"key":"80_CR9","volume-title":"a collection of the mathematical problems","author":"SM Ulam","year":"1960","unstructured":"Ulam SM (1960) a collection of the mathematical problems. Interscience Publishers, New York"},{"key":"80_CR10","doi-asserted-by":"crossref","unstructured":"Turab A, Sintunavarat W (2020) On a solution of the probabilistic predator\u2013prey model approached by the fixed point methods. J Fixed Point Theory Appl 22:64","DOI":"10.1007\/s11784-020-00798-1"},{"key":"80_CR11","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1007\/s11784-019-0694-y","volume":"21","author":"A Turab","year":"2019","unstructured":"Turab A, Sintunavarat W (2019) On analytic model for two-choice behavior of the paradise fish based on the fixed point method. J Fixed Point Theory Appl 21:56","journal-title":"J Fixed Point Theory Appl"}],"container-title":["Advances in Intelligent Systems and Computing","Proceedings of the Seventh International Conference on Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-16-6890-6_80","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,5]],"date-time":"2022-03-05T14:11:22Z","timestamp":1646489482000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-981-16-6890-6_80"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9789811668890","9789811668906"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-981-16-6890-6_80","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"6 March 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}