Perturbation of the mapping and solvability theorems in Banach space

Abstract

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

Cited by in corpus (2)

• On some nonlinear operators, fixed-point theorems and nonlinear equations
• Some Remarks on the Spectrum of Nonlinear Continuous Operators