Generalized variational principle and vector optimization

DOI10.1023/A:1004619426652zbMath0971.90080OpenAlexW128951755MaRDI QIDQ1586824

R. Smith

Publication date: 20 November 2000

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004619426652

zbMATH Keywords

vector optimizationEkeland variational principlepreordertransfinite induction

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30)

Related Items (10)

The Ekeland variational principle for Henig proper minimizers and super minimizers ⋮ Vectorial form of Ekeland-type variational principle in locally convex spaces and its applications ⋮ Ekeland variational principles for set-valued functions with set perturbations ⋮ An equilibrium version of vectorial Ekeland variational principle and its applications to equilibrium problems ⋮ Vectorial Ekeland variational principles and inclusion problems in cone quasi-uniform spaces ⋮ Composite schemes for variational inequalities over equilibrium problems and variational inclusions ⋮ Generalized Gerstewitz's functions and vector variational principle for \(\epsilon\)-efficient solutions in the sense of Németh ⋮ An equilibrium version of set-valued Ekeland variational principle and its applications to set-valued vector equilibrium problems ⋮ Maximal and Variational Principles in Vector Spaces ⋮ Sequentially lower complete spaces and Ekeland's variational principle

Cites Work

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• \(\epsilon\)-solutions in vector minimization problems
• A generalization of Caristi's theorem with applications to nonlinear mapping theory
• Coincidence point theorems and minimization theorems in fuzzy metric spaces
• On the variational principle
• On variational principles, level sets, well-posedness, and \(\epsilon\)-solutions in vector optimization
• On generalized ordering principles in nonlinear analysis
• Nonconvex minimization problems
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Equivalents of Ekeland's principle
• A generalization of Ekerland's variational principle and application to the study of the relation between the weak P.S. condition and coercivity

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