A remark on weakly convex continuous mappings in topological linear spaces

DOI10.1016/j.topol.2009.03.006zbMath1184.46009OpenAlexW2056634359MaRDI QIDQ1030176

Diana Caponetti, Alessandro Trombetta

Publication date: 1 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.03.006

zbMATH Keywords

topological linear spaceconvexly totally bounded setweak Zima type setweakly convex continuous mapping

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Cites Work

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• Fixed points for convex continuous mappings in topological vector spaces
• A compact convex set with no extreme points
• Compact convex sets in non-locally-convex linear spaces