Geodesic
Fixed point theorems in generalized locally convex spaces and applications
Filomat, Tome 37 (2023) no. 1, p. 221

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DOI

In this paper, we present the concept of generalized locally convex spaces, by introducing the so-called family of vector-valued seminorms. Some extensions of classical fixed point theorems in Hausdorff complete generalized locally convex spaces 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 first order differential equations with impulsive.
DOI : 10.2298/FIL2301221B
Classification : 46A03, 47A04, 47H10
Keywords: Locally convex space, Fixed point, Seminorms, Differential equation with impulsive 
Fatima Bahidi; Ahmed Boudaoui; Bilel Krichen. Fixed point theorems in generalized locally convex spaces and applications. Filomat, Tome 37 (2023) no. 1, p. 221 . doi: 10.2298/FIL2301221B
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