FIXED POINT THEOREMS IN GENERALIZED LOCALLY CONVEX SPACES AND APPLICATIONS

Fatima Bahidi, Ahmed Boudaoui, Bilel Krichen

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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