A variational principle, fixed points and coupled fixed points on P sets

A variational principle, fixed points and coupled fixed points on P sets

We prove a generalization of Ekeland’s variational principal using the notion of 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...

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Veröffentlicht in:Journal of fixed point theory and applications 2024-09, Vol.26 (3)
Hauptverfasser: Georgiev, Valentin, Ilchev, Atanas, Zlatanov, Boyan
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We prove a generalization of Ekeland’s variational principal using the notion of 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.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-024-01123-w