A note on functions whose local minima are global
From MaRDI portal
Publication:5904623
DOI10.1007/BF00934358zbMath0452.90063OpenAlexW1994023548MaRDI QIDQ5904623
Publication date: 1982
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00934358
local minimumgeneralized convexitynonconvex programmingglobal minimumglobal optimalityarcwise connectedness
Nonlinear programming (90C30) Convexity of real functions of several variables, generalizations (26B25)
Related Items (15)
On a global efficiency criterion in multiobjective variational control problems with path-independent curvilinear integral cost functionals ⋮ Generalized pseudoconvex functions and multiobjective programming ⋮ A topological property of limes-arcwise strictly quasiconvex functions ⋮ On a minimal criterion of efficiency in vector variational control problems ⋮ Geodesic convexity in nonlinear optimization ⋮ Local-global minimum property in unconstrained minimization problems ⋮ Nonlinear coordinate transformations for unconstrained optimization. II: Theoretical background ⋮ Convexity along curves and indunvexity ⋮ Global optimization in arcwise connected metric spaces ⋮ On a class of constrained interval-valued optimization problems governed by mechanical work cost functionals ⋮ A necessary and sufficient condition on the equivalence between local and global optimal solutions in variational control problems ⋮ On generalized pseudoconvex functions ⋮ Note on generalized convex functions ⋮ Arcwise connected functions and applications in multiobjective optimization ⋮ On the convexification of nonlinear programming problems: An applications-oriented survey
Cites Work
This page was built for publication: A note on functions whose local minima are global
