SIFAT-SIFAT HIMPUNAN PROXIMINAL

Authors

  • Arta Ekayanti Universitas Muhammadiyah Ponorogo

DOI:

https://doi.org/10.31000/prima.v2i1.422

Abstract

Pada artikel ini, akan dipelajari beberapa fakta mengenai himpunan proximinal. Di antaranya, himpunan proximinal pada ruang bernorma linear merupakan himpunan tertutup. Himpunan tertutup pada ruang bernorma linear berdimensi hingga merupakan himpunan proximinal. Himpunan proximinal yang konveks merupakan himpunan Chebyshev.

Kata Kunci: aproksimasi terbaik, himpunan proximinal, himpunan chebyshev, himpunan konveks

References

Aziz, D. (2008). Kaitan Antara Himpunan Konveks, Titik Tetap dan Aproksimasi Terbaik pada Ruang Metrik Menger. Jurnal Sains MIPA, 14(2), 126–128.

Ghazal, A. M. A. (2010). Best approximation and best co-approximation in normed space Best Approximation and Best Co − approximation in Normed Spaces. THE ISLAMIC UNIVERSITY OF GAZA. Retrieved from http://library.iugaza.edu.ps/Thesis/88068.pdf

Khalil, R. (1988). Best Approximation in Metric Spaces. In Proceeding of The American Mathematical Society (Vol. 103, pp. 579–586). https://doi.org/10.1016/S0304-0208(08)70635-2

Kreyszig, E. (1978). Introductory Functional Analysis with Applications. New York: John Wiley & Sons. https://doi.org/10.1002/zamm.19660460126

Suharsono, S. (2006). Aproksimasi Terbaik dalam Ruang Metrik Konveks. In Seminar Nasional MIPA 2006 (Vol. 1, pp. 1–7). Yogyakarta. Retrieved from http://eprints.uny.ac.id/11964/1/M-1 Suharsono S.pdf

Vijayaragavan, R. (2013). Best Approximation in Real Linear 2-Normed Spaces. IOSR Journal of Mathematics (IOSR-JM), 6(3), 16–24.

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Published

2018-01-31

Issue

Vol. 2 No. 1 (2018): Prima: Jurnal Pendidikan Matematika

Section

Articles

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