FIXED POINT THEOREMS FOR (ψ, ϕ, ω)-WEAK CONTRACTIONS IN COMPLETE METRIC SPACES
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.
Authors
- Maria Agustina Kleden (ORCID: https://orcid.org/0009-0008-7620-3679)
- Ndaru Atmi Purnami (ORCID: https://orcid.org/0000-0001-8243-5953)
- Ganesha Lapenangga Putra (ORCID: https://orcid.org/0000-0001-8795-3151)
- Irvandi Gorby Pasangka
Institutions
- University of Nusa Cendana (ID)
Publication Details
- Journal
- Journal of the Indonesian Mathematical Society
- Published
- 2024-09-23
- DOI
- https://doi.org/10.22342/jims.30.3.1387.352-360
- Primary Topic
- Optimization and Variational Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00