TEOREMA TITIK TETAP BERSERIKAT PEMETAAN KOMPATIBEL LEMAH YANG MEMENUHI SIFAT (E.A) DAN SIFAT (CLR) PADA RUANG METRIK BERNILAI KOMPLEKS

• Main Authors: , NOVITA ATMASARI, , Drs. Yusuf, MA. Math.
• Format: Theses and Dissertations NonPeerReviewed
• Published: [Yogyakarta] : Universitas Gadjah Mada 2014
• Subjects: ETD
• 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
• Institution: Universitas Gadjah Mada

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.