strictlyquasiconvex

由TNThang著作·2020·被引用10次—AMonotonicOptimizationApproachforSolvingStrictlyQuasiconvexMultiobjectiveProgrammingProblems.Authors:TranNgocThang,VijenderKumar ...,Letfbeastrictlyquasi-convexfunctiondefinedovertheconvexsetΩ.1.I)ThesetΓwherefreachesitsstrict(global)minimumisconvex.,LetDbeaconvexsubsetofRnandletf:D→Rbeafunction.Then.1.fisquasiconcaveiffthefunction−fisquasiconvex.2.fisstrictlyquas...

A Monotonic Optimization Approach for Solving Strictly ...

由 TN Thang 著作 · 2020 · 被引用 10 次 — A Monotonic Optimization Approach for Solving Strictly Quasiconvex Multiobjective Programming Problems. Authors:Tran Ngoc Thang, Vijender Kumar ...

CONCAVE and QUASI

Let f be a strictly quasi-convex function defined over the convex set Ω. 1. I) The set Γ where f reaches its strict (global) minimum is convex.

Convexity and Quasiconvexity

Let D be a convex subset of Rn and let f : D → R be a function. Then. 1. f is quasiconcave iff the function −f is quasiconvex. 2. f is strictly quasiconcave ...

Quasi-convexity, strictly quasi-convexity and pseudo

由 B Bereanu 著作 · 1972 · 被引用 36 次 — It can be easily verified that every local minimum of a strictly quasi-convex function is a global minimum. The same is true for pseudo-convex functions [16, p.

Quasiconvex function

is strictly quasiconvex. That is, strict quasiconvexity requires that a point directly between two other points must give a lower value of the function than one ...

Quasiconvex, pseudoconvex, and strictly ...

由 S Schaible 著作 · 1981 · 被引用 37 次 — Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions. Contributed Papers; Published: November 1981. Volume 35, pages 303–338, (1981); Cite ...

Strictly Quasi

由 S KARAMARDIAN 著作 · 被引用 103 次 — The class of continuous convex (concave) functions is extended to the class of lower semi-continuous strictly quasi-convex (upper semi- continuous strictly ...

Strictly Quasiconvex Function

Let f:S→Rn and S be a non-empty convex set in Rn then f is said to be strictly quasicovex function if for each x1,x2∈S with f(x1)≠f(x2), ...

Topic 7

Just as there are strictly convex functions there are strictly quasiconvex func- tions and the weird intermediate case of explicitly quasiconvex functions.