Conditions for the existence of solutions of nonlinear equations in finite-dimensional spaces
1 Department of Higher Mathematics, National University of Water and Environmental Engineering, Rivne, 33028, Ukraine
Keywords:
finite-dimensional spaces
Abstract
We obtain conditions for the existence of solutions of the nonlinear equation
$\mathcal{F}x = y$ ,
where $\mathcal{F}: X →Y$ is a continuous map, $X$ and $Y$ are nite dimensional Banach spaces and $y ∈ Y$.
Cite
- ACS Style
- Slyusarchuk , V.Y. Conditions for the existence of solutions of nonlinear equations in finite-dimensional spaces. Bukovinian Mathematical Journal. 2016, 4
- AMA Style
- Slyusarchuk VY. Conditions for the existence of solutions of nonlinear equations in finite-dimensional spaces. Bukovinian Mathematical Journal. 2016; 4(1-2).
- Chicago/Turabian Style
- Vasyl Yukhimovych Slyusarchuk . 2016. "Conditions for the existence of solutions of nonlinear equations in finite-dimensional spaces". Bukovinian Mathematical Journal. 4 no. 1-2.
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