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All Journal Journal of the Indonesian Mathematical Society Jurnal Abdimas BSI: Jurnal Pengabdian Kepada Masyarakat Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi SWARNA
Purnami, Ndaru Atmi
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Journal : Journal of the Indonesian Mathematical Society

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FIXED POINT THEOREMS FOR (ψ, ϕ, ω)-WEAK CONTRACTIONS IN COMPLETE METRIC SPACES Pasangka, Irvandi Gorby; Kleden, Maria Agustina; Putra, Ganesha Lapenangga; Purnami, Ndaru Atmi
Journal of the Indonesian Mathematical Society Vol. 30 No. 3 (2024): NOVEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.3.1387.352-360

Abstract

In this paper, we define the mapping called (ψ, ϕ, ω)-weak contractions. We then use this definition to proof the existence of fixed point. The mapping we defined above is a modified mapping by Liu and Chai. We use the concept ω-distance to proof the fixed point theorem. Since every ω-distance is metric, then the resulting theorem also satisfy for every metric.
Co-Authors Bambang Sudibya, Bambang Denny Dermawan Eka Kusumawati, Eka Findasari, Findasari Freddy Kurniawan Irvandi Gorby Pasangka Lasmadi, Lasmadi Maria Agustina Kleden Maria Asumpta Deny Kusumaningrum, Maria Asumpta Deny Maturbongs, Nadhira Hasna Pratama, Ilham Yoga Prawadika, Luqman Nuradi Rindu Alriavindra Funny Setiawan, Paulus Suharis, Ridho