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Let $$L_\rho $$ Lρ be a modular function space where $$\rho $$ ρ is a function modular satisfying the $$\Delta _2$$ Δ2 -type condition and is of s-convex type for $$s\in (0,1]$$ s∈(0,1] (see Definition 2 and Remark 3.2). Under this framework, the existence of fixed points for asymptotically regular mappings defined on some classes of subsets of $$L_\rho $$ Lρ is proved. As a consequence, some...
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