\(p\)-distances, \(q\)-distances and a generalized Ekeland's variational principle in uniform spaces

DOI10.1007/s10114-011-0629-zzbMath1334.49061OpenAlexW2000343884MaRDI QIDQ270245

Fei He, Jing-Hui Qiu

Publication date: 7 April 2016

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

Full work available at URL: https://doi.org/10.1007/s10114-011-0629-z

zbMATH Keywords

locally convex spaceuniform spaceEkeland's variational principleCaristi's fixed point theorem\(p\)-distance\(q\)-distanceTakahashi's nonconvex minimization theorem

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Methods involving semicontinuity and convergence; relaxation (49J45) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) General theory of locally convex spaces (46A03)

Related Items (6)

A revised pre-order principle and set-valued Ekeland variational principles with generalized distances ⋮ On the weak semi-continuity of vector functions and minimum problems ⋮ A general vectorial Ekeland's variational principle with a P-distance ⋮ On Caristi-type mappings without lower semicontinuity assumptions ⋮ Monotone type operators in nonreflexive Banach spaces ⋮ On Caristi type maps and generalized distances with applications

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