Geodesic convexity in nonlinear optimization

DOI10.1007/BF00940467zbMath0702.90066MaRDI QIDQ915653

Tamás Rapcsák

Publication date: 1991

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

generalized convexityRiemannian manifoldgeodesic convex functions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Programming in abstract spaces (90C48) Convexity of real functions of several variables, generalizations (26B25)

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Cites Work

• Elementary properties of arcwise connected sets and functions
• Hilbert's fourth problem. I
• A topological property of limes-arcwise strictly quasiconvex functions
• Generalized arcwise-connected functions and characterizations of local- global minimum properties
• Connected level sets, minimizing sets and uniqueness in optimization
• Minimizing a differentiable function over a differential manifold
• On generalized means and generalized convex functions
• Global optimization in arcwise connected metric spaces
• On generalized convex functions
• Generalized connectedness for families of Arcs
• Minimum problems on differentiable manifolds
• The Gradient Projection Method Along Geodesics
• A note on functions whose local minima are global
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