Ekeland's variational principle in locally p-convex spaces and related results

DOI10.4064/sm186-3-2zbMath1147.46001OpenAlexW1977218164MaRDI QIDQ5387119

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Publication date: 7 May 2008

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm186-3-2

zbMATH Keywords

Ekeland's variational principleCaristi's fixed point theoremlocally \(p\)-convex spacelocal completenessDaneš' drop theorem

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Fixed-point theorems (47H10)

Related Items (9)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ \(p\)-distances, \(q\)-distances and a generalized Ekeland's variational principle in uniform spaces ⋮ A general vectorial Ekeland's variational principle with a P-distance ⋮ Topological results, Rothe's principle and Leray-Schauder alternative for the fixed point equation in \(p\)-vector spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ A generalized vector-valued variational principle in Fréchet spaces ⋮ On the conjecture of Schauder ⋮ Unnamed Item ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

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