TEOREMA TITIK TETAP BERSERIKAT PEMETAAN KOMPATIBEL LEMAH YANG MEMENUHI SIFAT (E.A) DAN SIFAT (CLR) PADA RUANG METRIK BERNILAI KOMPLEKS
In this final project, we discuss about common fixed point theorems for weakly compatible maps satisfying (E.A) and (CLR) property in both metric spaces and complex valued metric spaces. First we discuss about Banach�s fixed point theorems (Banach Contraction Principle), that is fixed point theore...
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| Main Authors: | , |
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| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2014
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| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/131526/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=72022 |
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| Institution: | Universitas Gadjah Mada |
| Summary: | In this final project, we discuss about common fixed point theorems for
weakly compatible maps satisfying (E.A) and (CLR) property in both metric spaces
and complex valued metric spaces. First we discuss about Banach�s fixed point
theorems (Banach Contraction Principle), that is fixed point theorems for contraction
mappings defined in a complete metric spaces . Furthermore, we discuss about
common fixed point theorems for two maps defined in a metric spaces, both continuous
and noncontinuous maps. Common fixed point theorems for two continuous
maps is obtained from generalization of Banach Contraction Principle. Meanwhile,
common fixed point theorems for two noncontinuous maps is observed by using implicit
functions that completed with (E.A) and (CLR) property, and the maps must
weakly compatible. In the last section, we discuss about common fixed point theorems
for weakly compatible mas satisfying (E.A) and (CLR) property in complex
valued metric spaces. |
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