TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF (FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS)

In this final project, we discuss about fixed point theorems for nonexpansive mappings in complete metric spaces. First, we discuss about fixed point theorems for contraction mappings in complete metric spaces. Furthermore, we discuss about the sufficient conditions to ensure the existence of fixed...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: , APREYENI MARLINA FITRIYANI, , Dr. Ch. Rini Indrati, M.Si
التنسيق: Theses and Dissertations NonPeerReviewed
منشور في: [Yogyakarta] : Universitas Gadjah Mada 2013
الموضوعات:
ETD
الوصول للمادة أونلاين:https://repository.ugm.ac.id/125365/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=65532
الوسوم: إضافة وسم
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المؤسسة: Universitas Gadjah Mada
الوصف
الملخص:In this final project, we discuss about fixed point theorems for nonexpansive mappings in complete metric spaces. First, we discuss about fixed point theorems for contraction mappings in complete metric spaces. Furthermore, we discuss about the sufficient conditions to ensure the existence of fixed points of contraction mappings in sub metric spaces of a complete metric space using homotopy for two contraction mappings. Especially, we discuss about the sufficient conditions to ensure the existence of fixed points of nonexpansive mappings in Hilbert spaces. In the last section, we discuss about the sufficient conditions to ensure the existence of fixed points of nonexpansive mappings in Banach spaces with uniformly convex structure.