A class of functions whose sublevel sets are absolute retracts

DOI10.1016/J.TOPOL.2007.01.026zbMath1142.54006OpenAlexW2014027449MaRDI QIDQ924280

Biagio Ricceri

Publication date: 15 May 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2007.01.026

zbMATH Keywords

Absolute retractsLipschitzian multifunctionSublevel set

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Real-valued functions in general topology (54C30)

Related Items (1)

Topological fixed point theory and applications to variational inequalities

Cites Work

• Continuous selections. I
• Levels sets infimal convolution and level addition
• A minimax theorem for functions with possibly nonconnected intersections of sublevel sets
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