A variational principle, fixed points and coupled fixed points on $\mathbb {P}$ sets

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2024年7月31日

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Valentin Georgiev,
Atanas Ilchev,
Boyan Zlatanov

摘要

We prove a generalization of Ekeland’s variational principal using the notion of $\mathbb {P}$ $P$ sets. Using this result, we give proofs for fixed point theorems on partially ordered sets. Furthermore, one can obtain theorems for coupled fixed points using this technique. We demonstrate the procedure for proving such theorems.

A variational principle, fixed points and coupled fixed points on \(\mathbb {P}\) sets

摘要