Convexity property and fixed-point theorems in C_Ω-modular space

Article type: Research Article

Authors: Hadi, Sarem H.^{a; *} | Madhi, Zainab S.^b | Park, Choonkil^{c; *}

Affiliations: [a] Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq | [b] Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq | [c] Research Institute for Natural Sciences, Hanyang University, Seoul, Korea

Correspondence: [*] Corresponding authors. Sarem H. Hadi, Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq. E-mail: E-mail: [email protected] and Choonkil Park, Research Institute for Natural Sciences, Hanyang University, Seoul, Korea. E-mail: E-mail: [email protected].

Abstract: The purpose of this study is to introduce a new concept of the modular space, which is CΩ-modular space, and then some of the convex properties are discussed. We also study finding fixed-point in CΩ-modular space.

Keywords: C_Ω-modular space, 𝒢-convergence, 𝒢-Cauchy sequence, fixed-point in C_Ω-modular space

DOI: 10.3233/JIFS-202698

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 6, pp. 11475-11478, 2021