A local version of Karamardian's theorem on lower semicontinuous strictly quasiconvex functions

DOI10.1016/0377-2217(89)90223-3zbMath0715.90083OpenAlexW2039848558MaRDI QIDQ752006

Fred Alois Behringer

Publication date: 1989

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(89)90223-3

zbMATH Keywords

Karamardian's theoremlexminmax orderlocally star shaped domainmultiobjective decisionsemilocal lower semicontinuitysemilocally quasiconvexsemilocally strictly quasiconvex functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Convexity of real functions of several variables, generalizations (26B25)

Related Items (1)

Convexity is equivalent to midpoint convexity combined with strict quasiconvextiy

Cites Work

• Applications of fuzzy set theory to mathematical programming
• Linear multiobjective maxmin optimization and some Pareto and lexmaxmin extensions
• Interactive multiple objective programming subject to flexible constraints
• Semilocal pseudolinearity and efficiency
• A simplex based algorithm for the lexicographically extended linear maxmin problem
• Generalizations of convex and related functions
• On optimal decisions under complete ignorance. A new criterion stronger than both Pareto and Maxmin
• Strictly quasi-convex (concave) functions and duality in mathematical programming
• On continuous quasiconvex functions
• Discrete and nondlscrete quasi eon vexlike functions and single-peakedness (unimodality)
• Generalized convexities of lower semicontinuous functions
• A note on the maximum points of the minimum of quasiconvex functions
• Uniformly quasiconvexlike functions
• Zur existenz maximaler werte bei quasiordnungswertigen abbildungen
• Lexicographic quasiconcave multiobjective programming
• On Karamardian's theorem about lower semicontinuous strictly quasiconvex functions
• Approximations in $L^p $ and Chebyshev Approximations
• Constraint qualifications in maximization problems
• The Nucleolus of a Characteristic Function Game
• A Review of Quasi-Convex Functions
• KonvexeN-Stufen-Max-Min-Optimierung
• On a Theorem of Deák Concerning the Quasiconvexity of Semicontinuous α‐Quasiconvex Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A local version of Karamardian's theorem on lower semicontinuous strictly quasiconvex functions