Eksistensi Titik Tetap Pemetaan C-Kontraktif Diperumum pada Ruang Metrik Parsial Kompleks

Authors

  • Ahmad Ansar Universitas Sulawesi Barat
  • Hikmah Hikmah Universitas Sulawesi Barat

DOI:

https://doi.org/10.26594/jmpm.v6i2.2138

Keywords:

C-kontraktif, metrik parsial komplkes

Abstract

Tujuan penelitian ini adalah untuk menjelaskan dan membuktikan eksistensi dan ketunggalan titik tetap persekutuan dari  pemetaan C-kontraktif lemah yang diperumum pada ruang metrik parsial kompleks. Dalam artikel ini dipaparkan beberapa teorema terkait ruang metrik kompleks dan ruang metrik parsial kompleks sebagai dasar dalam membuktikan teorema teorema titik tetap. Teorema utama yang diperoleh memperumum beberapa teorema-teorema terdahulu di ruang metrik kompleks yang telah dibuktikan.

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Published

2021-09-07