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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
Two abstract methods of lower and upper solutions with applications
Andrei Stan
In this paper, we present two abstract methods for constructing a lower and an upper solution for a fixed point equation. The first method applies when the nonlinear operator is a…
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…