Chen, Chi-MingAlghamdi, Maryam A.Fulga, AndreeaKarapinar, Erdal02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-03-102025-09-182022-03-102025-09-182021Karapınar, Erdal...et al. (2021). "Advances on the fixed point results via simulation function involving rational terms", Advances in Difference Equations, Vol. 2021, No. 1.1687-1847https://doi.org/10.1186/s13662-021-03564-whttps://hdl.handle.net/123456789/10379In this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and unify the existing results in two senses: in the sense of contraction terms and in the sense of the abstract setting. We present an example to indicate the validity of the main theorem.eninfo:eu-repo/semantics/openAccessSimulation FunctionsContractionFixed PointArticle10.1186/s13662-021-03564-w2-s2.0-85114509842