Generalized quasiconvex set-valued maps

Authors

  • Nicolae Popovici “Babes-Bolyai” University, Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat312-725

Keywords:

generalized quasiconvexity, set-valued maps, scalarization
Abstract views: 218

Abstract

The aim of this paper is to introduce a concept of quasiconvexity for set-valued maps in a general framework, by only considering an abstract convexity structure in the domain and an arbitrary binary relation in the codomain. It is shown that this concept can be characterized in terms of usual quasiconvexity of certain real-valued functions. In particular, we focus on cone-quasiconvex set-valued maps with values in a partially ordered vector space.

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References

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Published

2002-08-01

How to Cite

Popovici, N. (2002). Generalized quasiconvex set-valued maps. Rev. Anal. Numér. Théor. Approx., 31(2), 199–206. https://doi.org/10.33993/jnaat312-725

Issue

Vol. 31 No. 2 (2002)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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