01810nam 2200397z- 450 9910347049603321202102111-000-04294-4(CKB)4920000000102020(oapen)https://directory.doabooks.org/handle/20.500.12854/48124(oapen)doab48124(EXLCZ)99492000000010202020202102d2014 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierFrom Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their ApplicationsKIT Scientific Publishing20141 online resource (IV, 134 p. p.)3-7315-0260-7 Based on Sperner's lemma the fixed point theorem of Brouwer is proved. Rather than presenting also other beautiful proofs of Brouwer's fixed point theorem, many nice applications are given in some detail. Also Schauder's fixed point theorem is presented which can be viewed as a natural generalization of Brouwer's fixed point theorem to an infinite-dimensional setting. Finally, Tarski's fixed point theorem is applied to differential equations in Banach spaces.From Sperner's Lemma to Differential Equations in Banach Spaces AnwendungenBanach spacesBanachräumeBrouwerFixpunktSchauderFixed pointsverification methodsSchäfer Uweauth1304678BOOK9910347049603321From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications3027585UNINA