A dual generalization of convex functions

M. Apetrii

doi:10.33993/jnaat361-853

Authors

M. Apetrii “Al. I. Cuza” University, Romania

DOI:

https://doi.org/10.33993/jnaat361-853

Keywords:

\(M\)-convexity, convex function, quasiconvex function, extrem point, local bounded function

Abstract views: 227

Abstract

As it is well known, the convexity property of a function may be described by the quasiconvexity property of all "the dual perturbations" of this function. If we consider the "dual perturbation" only in a subset \(M\subset X^{\ast}\) we obtain a general class of functions called \(M\)-convex. In this paper we establish some special properties and a continuity theorem of this new type of functions.

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References

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