PEMETAAN KONTRAKTIF PADA RUANG b-METRIK CONE R BERNILAI R^2

Sunarsini Sunarsini, Mahmud Yunus, S Sadjidon, Auda Nuril Zazilah

Abstract


Ruang b–metrik cone merupakan perluasan dari ruang b–metrik dan ruang metrik cone. Pada paper ini, diselidiki eksistensi dan sifat ketunggalan titik tetap pemetaan kontraktif pada ruang b–metrik cone yang lengkap. Selanjutnya, dikaji fungsi b-metrik pada ruang b-metrik cone dan dibuktikan beberapa teorema ekivalensi antara kedua ruang tersebut dengan disertai beberapa contoh terkait, khususnya ruang b-metrik cone bernilai 


Keywords


Cone; Pemetaan kontraktif; ruang b-metrik; ruang b–metrik cone; ruang metrik

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References


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DOI: http://dx.doi.org/10.12962/j1829605X.v13i2.1930

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Limits: Journal Mathematics and its Aplications by Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/limits.