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