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Let be a modular space.
Let ((X,rho)) be a modular space.
Let X ρ be a modular space.
Definition 2.4 Let X ρ be a modular space.
Definition 6 Let L ρ be a modular space.
Let ({X_{rho}}) be a modular space endowed with undirected graph G.
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Suppose that X ρ is a modular space, ρ satisfies the Δ 2 -condition and { x n } n ∈ N is a sequence in X ρ.
However, since is a modular space where for all, Theorem 4.8 implies the existence of a fixed point when we define mappings on a -a.e.
A modular ρ defines the following vector space: begin{aligned} X_{rho}:= bigl{ xin X : rho(lambda x) rightarrow0 text{ as } lambdarightarrow0 bigr}, end{aligned} and we say that (X_{rho}) is a modular space.
Definition 2.3 Let X w be a modular metric space.
Let ( X, ω ) be a modular metric space.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com