Stability Of Generalized Convex Functions With Respect To Linear Disturbances*

DOI10.1080/02331939908844463zbMath0952.26005OpenAlexW2093390813MaRDI QIDQ4943965

Phan Thanh An, Hoang Xuan Phu

Publication date: 7 January 2001

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939908844463

zbMATH Keywords

stabilityconvex functionlower semicontinuous functiongeneral convexity\(\gamma\)-convexlike function

Mathematics Subject Classification ID

Convex programming (90C25) Convex functions and convex programs in convex geometry (52A41) Methods involving semicontinuity and convergence; relaxation (49J45) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (2)

Maximizing strictly convex quadratic functions with bounded perturbations ⋮ Nonemptiness of Approximate Subdifferentials of Midpoint δ-Convex Functions

Cites Work

• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on a normed space
• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on the real line
• Stable generalization of convex functions
• Generalized convexities of lower semicontinuous functions
• Optimization of Globally Convex Functions
• Local boundedness and continuity of generalized convex functions
• Convex Analysis

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