MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C2BA04.D7B787C0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C2BA04.D7B787C0 Content-Location: file:///C:/B182EAC7/file7015.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" حل مساله ی (۱)= :

حل مساله ی (۱) :

 به برهان خلف عمل می کنیم. فرض کنید چنین تابعی وجود داشته باشد. تعریف کنید:<= /p>

توجه کنیž= 3; که

نقاط 1- و 2 را نقاط ثابت تابع g<= /span> می نامیم. اگر نقطه ای مانن= 583; x نقطه ثابت g<= /span> باشد آنگاه (f(x نیز نقطه ثابت g خواهد بود. لذا با توجه به تعریف g می توان نوشت:

حال g را با خودش ترکیب کنید و

 

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