{"product_id":"fixed-point-theory-banach-brouwer-and-schauder-theorems-von-ellis-shamash","title":"Fixed Point Theory: Banach, Brouwer and Schauder Theorems","description":"\u003cp\u003eThe primary focus of this work is the  Brouwer and Schauder fixed point (points that are  mapped onto itself) theorems. These theroems give  the existence for the presence of fixed points in  normed linear spaces. Brouwer considers finite- dimensional spaces while Schauder extend the theory  to infinite-dimensional spaces. For completeness we  also include material on the Banach fixed point  theorem. Banach¿s theorem restricts the subject of  fixed points to certain mappings (contraction  mapping). With these restrictions we can state  sufficient conditions for the existence and  uniqueness of a fixed point. Banach¿s result also  provide an interative procedure for obtaining  approximations for the fixed point as well as error  bounds on the approximation. After providing the  background material needed in the understanding of  these theorems we state and provide proofs of these  theorems. For each of these theorems a number of  applications are considered.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838350028\"\u003e\u003ch3\u003eFixed Point Theory: Banach, Brouwer and Schauder Theorems\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838350028","offer_id":39499032002653,"sku":"9783838350028","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/ae822f65-e25c-4831-899f-83792505ba68.jpg?v=1781239590","url":"https:\/\/shop.autorenwelt.de\/products\/fixed-point-theory-banach-brouwer-and-schauder-theorems-von-ellis-shamash","provider":"Autorenwelt Shop","version":"1.0","type":"link"}