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math.FA2025
Hybrid Nehari-Schauder type fixed point results and applications
Radu Precup, Andrei Stan
This paper develops a fixed point version of the well-known Nehari manifold method from critical point theory. The main result is formulated for systems of operator equations, rely…
math.FA2025
Fixed point results and the Ekeland variational principle in vector -metric spaces
Radu Precup, Andrei Stan
In this paper, we extend the concept of \( b \)-metric spaces to the vectorial case, where the distance is vector-valued, and the constant in the triangle inequality axiom is repla…