M A T H L I N E JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA ISSN 2502-5872 (Print) ISSN 2622-3627 (Elektronik) 19 Volume 7 Nomor 1, Februari 2022, halaman 91-109 SOME COINCIDENCE POINT THEOREMS IN MODULAR SPACES Afifah Hayati Universitas Nahdlatul Ulama Purwokerto, Jln. Sultan Ageng No.42, Karangklesem, Purwokerto Selatan, Purwokerto, Jawa Tengah, afifahhayati.mail@gmail.com ABSTRACT In metric spaces, defined a generalization of contraction mappings, called quasi-contraction mappings, that satisfy a condition that states there exists a nonnegative real number which is less than one such that for any two points, the metric of the image of that mappings at the two points is less than or equal to the real number multiplied by the maximum of the metric of the two points, the metric of each point with the image of the point itself, and the metric of each one point with the image of the other point. Then, defined Suzuki-contraction mappings that satisfy if two points satisfy half of the metric of one point with the image of the mappings at the point itself, then the metric of the image of the two points is less than the metric of the two points. A modular space is a vector space equipped with a modular that is the generalization of norm. Therefore, studying the definition and the properties of modular spaces as well as the definition of quasi-contraction mappings and Suzuki-contraction mappings in modular spaces, in this article, we shall show that coincidence point theorem for quasi-contraction mapping in modular spaces is a generalization of the fixed point. Furthermore, we shall show that fixed point theorem and coincidence point theorem for Suzuki-contraction mappings in modular spaces is generalization of the fixed point theorem and the coincidence point theorem in metric spaces with some extra assumptions. Keywords : Coincidence Point, Quasi-Contraction Mappings, Suzuki-Contraction Mappings, Modular Space How to Cite: Hayati, A. (2022). Some Coincidence Point Theorems In Modular Spaces. Mathline: Jurnal Matematika dan Pendidikan Matematika, Vol. 7 No. 1, 91- 109. DOI: https://doi.org/10.31943/mathline.v7i1.260 PRELIMINARY Today, the generalization of fixed point theorem is growing rapidly because this theorem has quite a number of applications. Most of these generalizations are the generalizations of the Banach Contraction Theorem, which states that if is a complete metric space and is a contraction mapping, then T has a unique fixed point. A point in the nonempty set is said to be a coincidence point of two mappings defined on if the image of the element in one of the mappings is equal to the image of the element in the other mapping. In 1998, Jungck & Rhoades introduced the definition of two mappings that are weakly-compatible in metric spaces, i.e. two mappings whose the composition of the mappings is commutative at their coincidence point. One of the generalizations of fixed point theorem is coincidence point theorem which involves two