Sequentially lower complete spaces and Ekeland's variational principle

DOI10.1007/s10114-015-4541-9zbMath1327.58020OpenAlexW817224145MaRDI QIDQ2516027

Jing-Hui Qiu, Fei He

Publication date: 10 August 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4541-9

zbMATH Keywords

locally convex spacevectorial Caristi's fixed point theoremvectorial Ekeland variational principlesequentially lower complete spacevectorial Takahashi's non-convex minimization theorem

Mathematics Subject Classification ID

Variational inequalities (49J40) Fixed-point theorems (47H10) Variational principles in infinite-dimensional spaces (58E30) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) General theory of locally convex spaces (46A03)

Related Items (5)

An equilibrium version of vectorial Ekeland variational principle and its applications to equilibrium problems ⋮ Vectorial Ekeland variational principle for systems of equilibrium problems and its applications ⋮ Generalized Gerstewitz's functions and vector variational principle for \(\epsilon\)-efficient solutions in the sense of Németh ⋮ Fixed points of set-valued maps in locally complete spaces ⋮ An equilibrium version of set-valued Ekeland variational principle and its applications to set-valued vector equilibrium problems

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