Schauder's type of fixed point theorem in locally convex space
- Andrzej Nowakowski,
- Robert Plebaniak
Andrzej Nowakowski
University of Lodz Faculty of Mathematics and Computer Science
Corresponding Author:andrzej.nowakowski@wmii.uni.lodz.pl
Author ProfileRobert Plebaniak
University of Lodz Faculty of Mathematics and Computer Science
Author ProfileAbstract
We introduce the concept of generalized norm in linear vector spaces
which extends the classical norm. Using that generalized norm we provide
a generalization of Schauder's type theorem. Next we give some
applications of this theorem to find solutions of initial value
problems.
