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All Journal Epsilon: Jurnal Matematika Murni dan Terapan
Ahmad Maulidi
Program Studi Matematika FMIPA Universitas Lambung Mangkurat
Decision Sciences, Operations Research & Management Transportation

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MEMETRIKKAN RUANG MERIK CONE DENGAN MENORMKAN RUANG BANACH Ahmad Maulidi; Mohammad Mahfuzh Shiddiq; Nurul Huda
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (409.12 KB) | DOI: 10.20527/epsilon.v11i1.113

Abstract

Huang and Zhang introduced the cone metric space, by replacing codomain from the set of real numbers into an ordered Banach space on a cone, where the cone is a non empty subset of real Banach space that satisfy certain other properties. In this study also explained about the norm space which is a pair of a vector space with a norm that satisfy some specific properties. Furthermore, Banach space is a complete norm space and space norm says completed if every Chaucy sequence in norm space is convergent.In this paper, the researcher want to study how to metrizability of metric spaces via renorming the Banach spaces. This research was conducted by explaining and proving how to metrizability of cone metric spaces via renorming the Banach spaces. The result is a metric space cone can be made into an ordinary metric space with a metric defined by ????????(????????,????????)=‖|????????(????????,????????)|‖
Co-Authors Mohammad Mahfuzh Shiddiq Nurul huda