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Himpunan Kompak Ward Dan Fungsi Kontinu Ward Di Ruang Bernorma-2
ABSTRAK
Ruang bernorma-2 merupakan perluasan dari ruang bernorma yang pertama kali diperkenalkan oleh Gähler pada tahun 1960-an. Banyak peneliti yang mengkaji sifat - sifat ataupun aspek – aspek ruang bernorma-2 dan ruang bernorma-n. Dalam tugas akhir ini, dibahas tentang himpunan kompak ward serta beberapa teorema yang terkait dan hubungan fungsi- fungsi kontinu di ruang bernorma-2 diantaranya fungsi kontinu sekuensial, fungsi kontinu ward, fungsi kontinu seragam dan fungsi kontinu . Selanjutnya, kekonvergenan barisan fungsi di ruang bernorma-2.
Kata Kunci : Ruang Bernorma-2, Barisan, Himpunan Kompak, Himpunan Kompak Ward, Fungsi Kontinu, Barisan Fungsi
ABSTRACT
2-normed space is an extension of normed space that was first introduced by Gähler in 1960s. Many researchers studied some properties and aspects in 2-normed space and -normed space. In this paper, discussed about ward compact set and several related theorems, and the relationship of contiunous function in 2-normed space including sequentially continuos function, ward continuous function, uniform continuous function, and continuous function. Next, convergence of sequence of function in 2-normed space.
Keywords : 2-Normed Space, Sequence, Compact Set, Ward Compact Set, Continuous Function, Sequence of Function.
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