LEADER 01810nam  2200397z- 450 
001 9910347049603321
005 20210211
010   $a1-000-04294-4
035   $a(CKB)4920000000102020
035   $a(oapen)https://directory.doabooks.org/handle/20.500.12854/48124
035   $a(oapen)doab48124
035   $a(EXLCZ)994920000000102020
100   $a20202102d2014      |y         0
101 0 $aeng
135   $aurmn|---annan
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 00$aFrom Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications
210   $cKIT Scientific Publishing$d2014
215   $a1 online resource (IV, 134 p. p.)
311 08$a3-7315-0260-7 
330   $aBased 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.
517   $aFrom Sperner's Lemma to Differential Equations in Banach Spaces 
610   $aAnwendungen
610   $aBanach spaces
610   $aBanachra?ume
610   $aBrouwer
610   $aFixpunkt
610   $aSchauderFixed points
610   $averification methods
700   $aSchäfer$b Uwe$4auth$01304678
906   $aBOOK
912   $a9910347049603321
996   $aFrom Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications$93027585
997   $aUNINA