Equivalents of an approximate variational principle for vector-valued functions and applications

zbMath0942.49023MaRDI QIDQ1299926

Gue Myung Lee, Guang-Ya Chen, Xue Xiang Huang

Publication date: 21 August 2000

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

zbMATH Keywords

vector variational principledirectional contractionsfixed point of set-valued mappingshalf distance

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Optimality conditions for problems in abstract spaces (49K27)

Related Items (3)

Characterization of approximate solutions of vector optimization problems with a variable order structure ⋮ Set-valued pseudo-metric families and Ekeland's variational principles in fuzzy metric spaces ⋮ Set-valued Ekeland variational principles in fuzzy metric spaces

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