Uniform Boundedness Principle for Nonlinear Operators on Cones of Functions

Aljoša Peperko
2018 Journal of Function Spaces  
We prove a uniform boundedness principle for the Lipschitz seminorm of continuous, monotone, positively homogeneous, and subadditive mappings on suitable cones of functions. The result is applicable to several classes of classically nonlinear operators.
doi:10.1155/2018/6783748 fatcat:dklpxspr4ndfxlx7uqmpgxpdii