Epsilon: Jurnal Matematika Murni dan Terapan
Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1

MEMETRIKKAN RUANG MERIK CONE DENGAN MENORMKAN RUANG BANACH

Ahmad Maulidi (Program Studi Matematika FMIPA Universitas Lambung Mangkurat)
Mohammad Mahfuzh Shiddiq (Program Studi Matematika FMIPA Universitas Lambung Mangkurat)
Nurul Huda (Unknown)



Article Info

Publish Date
21 Nov 2017

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 ????????(????????,????????)=‖|????????(????????,????????)|‖

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Journal Info

Abbrev

epsilon

Publisher

Subject

Decision Sciences, Operations Research & Management Transportation

Description

Jurnal Matematika Murni dan Terapan Epsilon is a mathematics journal which is devoted to research articles from all fields of pure and applied mathematics including 1. Mathematical Analysis 2. Applied Mathematics 3. Algebra 4. Statistics 5. Computational ...