Generic well‐posedness of optimization problems in topological spaces

DOI10.1112/S0025579300013152zbMath0679.49010OpenAlexW2143441598MaRDI QIDQ4728891

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Publication date: 1989

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300013152

zbMATH Keywords

Stone-Čech compactificationGâteaux differentiabilitygeneric well-posednessdense Baire subspacedense \(G_{\delta }\)-subset of C(X)dense Čech complete subspaceFréchet differentiability of convex functionalsTikhonov well-posed optimization problems

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Function spaces in general topology (54C35) Methods involving semicontinuity and convergence; relaxation (49J45) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

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Cites Work

• Unnamed Item
• Banach spaces which are Asplund spaces
• About well-posed optimization problems for functionals in metric spaces
• Dense strong continuity of mappings and the Radon-Nikodym property.
• Gateaux Differentiability of Convex Functions on Banach Spaces
• On a generic optimization theorem of Petar Kenderov