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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
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Robert Plebaniak
University of Lodz Faculty of Mathematics and Computer Science
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Abstract

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.