Convergence of minima in convergence spaces1

DOI10.1080/02331938608843171zbMath0614.49013OpenAlexW2020468680MaRDI QIDQ4721125

Szymon Dolecki

Publication date: 1986

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938608843171

zbMATH Keywords

lower semicontinuityglobal minimagraph-closedness

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (14)

Calmness and Stability Properties of Marginal and Performance Functions ⋮ Miscellaneous incidences of convergence theories in optimization and nonlinear analysis. I: Behavior of solutions ⋮ Continuous convergence and preservation of convergences of sets ⋮ Topological stability results about approximate solutions of parametrized minimization problems ⋮ On stability of approximate solutions of minimization problems ⋮ Epigraphical analysis ⋮ Convergence of approximate saddle points ⋮ Tangency and differentiation: Marginal functions ⋮ Stability of efficient sets: continuity of mobile polarities ⋮ Convergence of intuitionistic fuzzy sets ⋮ Topological existence and stability for min sup problems ⋮ New results on approximate solution in two-level optimization ⋮ On approximate minima of a convex functional and lower semicontinuity of metric projections ⋮ Convergence of fuzzy sets with respect to the supremum metric

Cites Work

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• Decomposition of semifilters and sequential \(\Gamma\)-limits in completely distributive lattices
• Tangency and differentiation: Some applications of convergence theory
• Inequalities involving \(\Gamma\)-functionals and semi complete lattice homomorphisms
• Gamma-convergence and optimal control problems
• On upper semicontinuity of global minima in constrained optimization problems
• On the continuity of the minimum set of a continuous function
• Cyrtologies of Convergences, I
• Cyrtologies of Convergences, II: Sequential Convergences
• Relations between generalized concepts of convexity and conjugacy

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