Optimality conditions and duality involving arcwise connected and generalized arcwise connected functions

DOI10.1023/A:1021725200423zbMath0922.90124OpenAlexW341884214MaRDI QIDQ1281970

Davinder Bhatia, Aparna Mehra

Publication date: 4 October 1999

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

Full work available at URL: https://doi.org/10.1023/a:1021725200423

zbMATH Keywords

arcwise connected functionsarcwise connected sets\(P\)-connected functions\(Q\)-connected functionsdirectional derivative with respect to an arc

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items (11)

Convexity with respect to a differential equation ⋮ Optimality conditions and duality for arcwise connected interval optimization problems ⋮ Optimality and duality in vector optimization problems involving arcwise connected \(d\)-type-I functions over cones ⋮ Optimality conditions and duality on approximate solutions in vector optimization with arcwise connectivity ⋮ Arcwise connected cone-convex functions and mathematical programming ⋮ Local-global minimum property in unconstrained minimization problems ⋮ A note on generalized \(Q\)-connected functions. ⋮ Saddle-point type optimality criteria for optimization problem over cones. ⋮ Optimality conditions and duality for fractional programming problems involving arcwise connected functions and their generalizations ⋮ Necessary Optimality Condition for Nonlinear Interval Vector Programming Problem Under B-Arcwise Connected Functions ⋮ Optimality conditions and duality for semi-infinite programming involving B-arcwise connected functions

Cites Work

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• Geodesic convexity in nonlinear optimization
• Elementary properties of arcwise connected sets and functions
• Generalized arcwise-connected functions and characterizations of local- global minimum properties
• Global optimization in arcwise connected metric spaces
• A note on arewise connected sets and functions
• Convexlike alternative theorems and mathematical programming
• What is invexity?
• Generalized connectedness for families of Arcs
• Convexity along curves and indunvexity

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