EKSISTENSI DAN KETUNGGALAN TITIK TETAP BERSAMA DI RUANG METRIK CONE (KERUCUT) UNTUK PASANGAN FUNGSI EKSPANSIF
DOI:
https://doi.org/10.55273/jms.v3i1.193Keywords:
Cone Metric Space, Fixed Point Theorem, Expansive FunctionAbstract
The metric space is one of the most important designs in the field of functional analysis. In 2007 Huang and Zhang introduced the concept of a metric space into a cone metric space. They have proved several fixed point theorems for contraction functions using cone normality. The aim of this study is to examine the singularity of the common fixed points in the cone metric space for pairs of expansive functions. This research was conducted using the literature study method, namely by analyzing and outlining the designs already available in the literature. Furthermore, from this study it can be proven that the onto (surjective) function that satisfies the contractive condition in the cone metric space has a single fixed point together.
References
Akbar, S., M. Kiftiah dan Yudhi. 2016. Teorema Titik Tetap pada Ruang Metrik Cone. Buletin
Ilmiah Math. Stat. dan Terapannya (Bimaster) 5(2) . 261-266.
Guang, H.L., dan Z. Xian. 2007. Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings. Journal of Mathematical Analysis and Applications 332(2).Elsevier :1468-1476.
Karyati dan D.U. Wutsana.2007. Masalah Norm Minimum Pada Ruang Hilbert Dan Aplikasinya. Pythagoras. 3(1) . 1-14
Kreyszig, E. 1978. Introductory Functional Analysis with Applications. New York: John Wiley and Sons.
Markin, M.V. dan E. S. Sichel. 2019. On Expansive Mappings. Mathematics. 7 (1004) . 1-10.
Muslikh, M. 2012. Analisis Real. Malang : UB Press.
Soemantri, R. 1990. Analisis Real I. Jakarta : PT Karunika.
Tiwari, S. K., R. P. Dubey dan A. K. Dubey. 2013. Cone Metric Space and Some Fixed Point Result for Pair of Expansive Mappings. Gen. Math. Notes 19(2). icsrs publication : 1-9.
Umam, A. K. 2021. Mata Kuliah Analisis Real. Banten : Yayasan Pendidikan dan Sosial Indonesia Maju (YPSIM) Banten.
