Remarks to an equivalent formulation of ekeland’s variational principle

DOI10.1080/02331939408844020zbMath0815.49012OpenAlexW2015209305MaRDI QIDQ4764846

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Publication date: 14 June 1995

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939408844020

zbMATH Keywords

weak sharp minimaproximal point algorithmEkelands variational principle

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (20)

New vectorial versions of Takahashi's nonconvex minimization problem ⋮ A generalized Ekeland vector variational principle and its applications in optimization ⋮ Takahashi's minimization theorem and some related results in quasi-metric spaces ⋮ Ekeland-Type Variational Principles and Equilibrium Problems ⋮ Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces ⋮ Approximations and solution estimates in optimization ⋮ Some equivalent formulations of the generalized Ekeland's variational principle and their applications ⋮ Ekeland, Takahashi and Caristi principles in preordered quasi-metric spaces ⋮ Equivalent formulations of Ekeland's variational principle ⋮ Linear and nonlinear error bounds for lower semicontinuous functions ⋮ Nonlinear error bounds for lower semicontinuous functions on metric spaces ⋮ On implicit multifunction theorems ⋮ On some nonlinear problems induced by an abstract maximal element principle ⋮ A minimization theorem for a set-valued mapping ⋮ Systems of equilibrium problems with applications to new variants of Ekeland's variational principle, fixed point theorems and parametric optimization problems ⋮ ON FIXED POINTS OF GENERALIZED SET-VALUED CONTRACTIONS ⋮ A new concept of slope for set-valued maps and applications in set optimization studied with Kuroiwa's set approach ⋮ Error bounds and metric subregularity ⋮ Ekeland, Takahashi and Caristi principles in quasi-pseudometric spaces ⋮ A variational method in fixed point results with inwardness conditions

Cites Work

• Unnamed Item
• Finite termination of the proximal point algorithm
• The drop theorem, the petal theorem and Ekeland's variational principle
• Nonconvex minimization problems
• On the Convergence of the Proximal Point Algorithm for Convex Minimization

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