FIXED POINT THEOREMS FOR (ψ, ϕ, ω)-WEAK CONTRACTIONS IN COMPLETE METRIC SPACES

Irvandi Gorby Pasangka (Universitas Nusa Cendana)
Maria Agustina Kleden (Universitas Nusa Cendana)
Ganesha Lapenangga Putra (Universitas Nusa Cendana)
Ndaru Atmi Purnami (Institut Teknologi Dirgantara Adisutjipto)

Journal of the Indonesian Mathematical Society
Vol. 30 No. 3 (2024): NOVEMBER

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.