A mountain pass-type theorem for vector-valued functions

DOI10.1007/s11228-011-0182-zzbMath1236.49013OpenAlexW2005897435MaRDI QIDQ763339

Elena Molho, Enrico Miglierina, Ewa M. Bednarczuk

Publication date: 9 March 2012

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11383/1720177

zbMATH Keywords

minimaxvector optimizationEkeland's principleset-valued optimization

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Existence of solutions for minimax problems (49J35)

Related Items (6)

Generalized \(B\)-well-posedness for set optimization problems ⋮ Pointwise well-posedness in set optimization with cone proper sets ⋮ Continuity of the solution set mappings to a parametric set optimization problem ⋮ Scalarization and pointwise well-posedness for set optimization problems ⋮ Continuity of solutions for parametric set optimization problems via scalarization methods ⋮ A Survey of Set Optimization Problems with Set Solutions

Cites Work

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• Well-posed optimization problems
• Variants of the Ekeland variational principle for a set-valued map involving the Clarke normal cone
• Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
• Critical points index for vector functions and vector optimization
• Global analysis and economics. III: Pareto Optima and price equilibria
• Global analysis and economics. VI: Geometric analysis of Pareto optima and price equilibria under classical hypotheses
• The Ekeland variational principle for set-valued maps involving coderivatives
• Some variants of the Ekeland variational principle for a set-valued map
• On set-valued optimization.
• Slow solutions of a differential inclusion and vector optimization
• An Existence Theorem in Vector Optimization
• A New Variant of Ekeland's Variational Principle for Set-Valued Maps
• Variational Methods
• New stability results for Ekeland's \(\varepsilon\) variational principles for vector-valued and set-valued maps

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