Strict approximate solutions in set-valued optimization with applications to the approximate Ekeland variational principle

DOI10.1016/j.na.2010.08.012zbMath1208.49012OpenAlexW2006646699MaRDI QIDQ607101

César Gutiérrez, Lionel Thibault, Vicente Novo Sanjurjo, Bienvenido Jiménez

Publication date: 19 November 2010

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.2010.08.012

zbMATH Keywords

approximate solutionexistence theoremEkeland's variational principleset-valued optimizationstrict solutionset solution criterion

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Variational principles in infinite-dimensional spaces (58E30)

Related Items (15)

Some properties of generalized oriented distance function and their applications to set optimization problems ⋮ Convergence of solutions of a set optimization problem in the image space ⋮ Generalized \(B\)-well-posedness for set optimization problems ⋮ Ekeland’s variational principle with a scalarization type weighted set order relation ⋮ Approximate weak minimal solutions of set-valued optimization problems ⋮ Pointwise well-posedness in set optimization with cone proper sets ⋮ Scalarization of Set-Valued Optimization Problems in Normed Spaces ⋮ Ekeland Variational Principles in Vector Equilibrium Problems ⋮ Second-order optimality conditions for set optimization using coradiant sets ⋮ Scalarization in set optimization with solid and nonsolid ordering cones ⋮ Nonlinear Scalarizations of Set Optimization Problems with Set Orderings ⋮ A Survey of Set Optimization Problems with Set Solutions ⋮ Ekeland's variational principle with weighted set order relations ⋮ Scalarization and well-posedness for set optimization using coradiant sets ⋮ Generalized \({\varepsilon }\)-quasi solutions of set optimization problems

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