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The advantage of the approach using Schauder\u2019s fixed point theorem is that it is also applicable to large data since it does not require any kind of contraction property. These considerations will allow us to provide explicit iterative algorithms for its numerical solution. Finally to obtain more precise a-priori estimates one can use in the situations dealing with small data the Banach fixed point theorem which then also grants the uniqueness.<\/jats:p>","DOI":"10.1007\/s11785-023-01455-4","type":"journal-article","created":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T16:02:47Z","timestamp":1709308967000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Variational Principles in Quaternionic Analysis with Applications to the Stationary MHD Equations"],"prefix":"10.1007","volume":"18","author":[{"given":"P.","family":"Cerejeiras","sequence":"first","affiliation":[]},{"given":"U.","family":"K\u00e4hler","sequence":"additional","affiliation":[]},{"given":"R. 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