Fixed point-critical point hybrid theorems and application to systems with partial variational structure

DOI10.1007/s11784-021-00852-6OpenAlexW3203641254WikidataQ113899873 ScholiaQ113899873MaRDI QIDQ2239376

Tiziana Cardinali, Radu Precup, Irene Benedetti

Publication date: 3 November 2021

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-021-00852-6

zbMATH Keywords

positive solutionEkeland variational principleperiodic problemsecond-order differential systemsPerov contractionKrasnosel'skii's fixed point theorem for the sum of two operators

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Iterative procedures involving nonlinear operators (47J25) Periodic solutions to ordinary differential equations (34C25) Fixed-point theorems (47H10)

Related Items (2)

On a version of hybrid existence result for a system of nonlinear equations ⋮ Nonlinear alternatives of hybrid type for nonself vector-valued maps and application

Uses Software

• Green

Cites Work

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• Fixed-point theory for the sum of two operators
• Heterogeneous vectorial fixed point theorems
• Existence of solutions for a nonlinear integral equation via a hybrid fixed point theorem
• Some problems of nonlinear analysis
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
• Green’s Functions in the Theory of Ordinary Differential Equations

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