Perturbation of the mapping and solvability theorems in Banach space

What is it about?

Here we consider perturbations of continuous mappings on Banach spaces and investigate their images under various conditions. Consequently, we study the solvability of some classes of equations and inclusions. For these, we start by investigating of local properties of the considered mapping and local comparisons of this mapping with certain smooth mappings. Moreover, we study different mixed problems.

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Why is it important?

Here we consider perturbations of continuous mappings on Banach spaces and investigate their images under various conditions. Consequently, we study the solvability of some classes of equations and inclusions. For these, we start by investigating of local properties of the considered mapping and local comparisons of this mapping with certain smooth mappings. Moreover, we study different mixed problems.