FIXED POINT THEOREMS IN GENERALIZED LOCALLY CONVEX SPACES AND APPLICATIONS
Abstract
In this paper, we present the concept of generalized locally convex spaces (in short, GLCSs),
by introducing the so-called family of vector-valued seminorms. Some extensions of classical xed point
theorems in Hausdor complete GLCSs are given. These results are formulated in terms of continuity
and L-contractions. As applications, we study the existence and uniqueness of solutions for systems of
rst order dierential equations with impulsive.
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