Existence theorems for variational inclusion problems and the set-valued vector Ekeland variational principle in a complete metric space

DOI10.1016/j.na.2008.03.053zbMath1282.49013OpenAlexW2047346277MaRDI QIDQ1006703

Lai-Jiu Lin, Chih-Sheng Chuang

Publication date: 25 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.053

zbMATH Keywords

Ekeland's variational principlevariational disclusion problem in Ekeland's sensevariational inclusion problem in Ekeland's sensevariational intersection problem in Ekeland's sense

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items

New existence theorems for quasi-equilibrium problems and a minimax theorem on complete metric spaces ⋮ Critical point theorems and Ekeland type variational principle with applications ⋮ Applications of an HIDS theorem to the existence of fixed point, abstract equilibria and optimization problems ⋮ Saddle point problems, bilevel problems, and mathematical program with equilibrium constraint on complete metric spaces ⋮ Critical point theorems for nonlinear dynamical systems and their applications ⋮ From an abstract maximal element principle to optimization problems, stationary point theorems and common fixed point theorems ⋮ Invariant-point theorems and existence of solutions to optimization-related problems ⋮ Minimal element theorems revisited ⋮ Ekeland type variational principle with applications to quasi-variational inclusion problems

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