Perturbation of the mapping and solvability theorems in Banach space
Functional Analysis
2023-10-11 v1
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.
Keywords
Cite
@article{arxiv.2310.06455,
title = {Perturbation of the mapping and solvability theorems in Banach space},
author = {Kamal N. Soltanov},
journal= {arXiv preprint arXiv:2310.06455},
year = {2023}
}