A topological property of limes-arcwise strictly quasiconvex functions

DOI10.1016/0022-247X(88)90032-7zbMath0661.90076MaRDI QIDQ1113807

Phan Thien Thach, Reiner Horst

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

generalized convexitynonconvex optimizationlocal minimalevel setsglobal minimaarcwise quasiconvex functionalslimes-arcwise strict quasiconvexitylower semicontinuous point-to-set mapping

Mathematics Subject Classification ID

Nonlinear programming (90C30) Set-valued maps in general topology (54C60)

Related Items

Geodesic convexity in nonlinear optimization ⋮ Nonlinear coordinate transformations for unconstrained optimization. II: Theoretical background

Cites Work

• Generalized arcwise-connected functions and characterizations of local- global minimum properties
• On functions whose local minima are global
• Global optimization in arcwise connected metric spaces
• A note on functions whose local minima are global
• A note on functions whose local minima are global