Elementary properties of arcwise connected sets and functions

DOI10.1007/BF00935233zbMath0522.26008MaRDI QIDQ1055903

J. Blot

Publication date: 1983

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

zbMATH Keywords

convexityLipschitz conditionepigraphlocally bounded functionsarcwise connectedness

Mathematics Subject Classification ID

Nonlinear programming (90C30) Convexity of real functions of several variables, generalizations (26B25)

Related Items (16)

Optimality and duality in vector optimization problems involving arcwise connected \(d\)-type-I functions over cones ⋮ Generalized pseudoconvex functions and multiobjective programming ⋮ Fritz-John optimality and duality for non-convex programs ⋮ Locally connected sets and functions ⋮ Generalized connectedness for families of Arcs ⋮ Optimality conditions and duality on approximate solutions in vector optimization with arcwise connectivity ⋮ A note on arewise connected sets and functions ⋮ Geodesic convexity in nonlinear optimization ⋮ Arcwise connected cone-convex functions and mathematical programming ⋮ A note on generalized \(Q\)-connected functions. ⋮ Nonlinear coordinate transformations for unconstrained optimization. II: Theoretical background ⋮ Towards a unified type of concavity ⋮ Necessary Optimality Condition for Nonlinear Interval Vector Programming Problem Under B-Arcwise Connected Functions ⋮ Optimality conditions and duality involving arcwise connected and generalized arcwise connected functions ⋮ Optimality and duality for minmax problems involving arcwise connected and generalized arcwise connected functions ⋮ B-vex functions

Cites Work

• Unnamed Item
• Generalized arcwise-connected functions and characterizations of local- global minimum properties

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