On cone convexity of set-valued maps
β Scribed by Daishi Kuroiwa; Tamaki Tanaka; Truong Xuan Duc Ha
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 470 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
The aim of this paper is to show that under a mild semicontinuity assumption (the so-called segmentary epi-closedness), the cone-convex (respectively, cone-quasiconvex) set-valued maps can be characterized in terms of weak cone-convexity (respectively, weak cone-quasiconvexity), i.e., the notions ob
The aim of this paper is to give sufficient conditions for a quasi-convex set-valued mapping to be convex. In particular, we recover several known characterizations of convex real-valued functions, given in terms of quasiconvexity and Jensen-type convexity by Nikodem [1], Behringer [2], and Yang, Te
By means of the Minkowski function we define a new concept of local Holder Ε½ . equicontinuity respectively local Holder continuity for families consisting of Ε½ . set-valued mappings respectively for set-valued mappings between topological linear spaces. The connection between this new concept and t