Vector Ekeland's variational principle in an \(F\)-type topological space

DOI10.1007/s00186-007-0205-6zbMath1147.49008OpenAlexW2044765658MaRDI QIDQ929342

Xiao Qi Yang, Hui Yu, Guang-Ya Chen

Publication date: 17 June 2008

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-007-0205-6

zbMATH Keywords

Cauchy sequence\(F\)-type topological spacevector Ekeland's variational principle

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52)

Related Items (9)

A general vectorial Ekeland's variational principle with a P-distance ⋮ A Brézis-Browder principle on partially ordered spaces and related ordering theorems ⋮ Vectorial form of Ekeland-type variational principle in locally convex spaces and its applications ⋮ Vectorial Ekeland variational principles and inclusion problems in cone quasi-uniform spaces ⋮ Ekeland's variational principle for vectorial multivalued mappings in a uniform space ⋮ Sequentially lower complete spaces and Ekeland's variational principle ⋮ Variational rationality, variational principles and the existence of traps in a changing environment ⋮ General versions of the Ekeland variational principle: Ekeland points and stop and go dynamics ⋮ Vectorial variational principle with variable set-valued perturbation

Cites Work

• Unnamed Item
• Generalization of ordering principles and applications
• A general principle on ordered sets in nonlinear functional analysis
• The variational principle and fixed point theorems in certain topological spaces
• A generalization of ekellandz’s variational principle

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