𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On mappings “loosening” convexity

✍ Scribed by A. V. Kuz'minykh

Publisher
SP MAIK Nauka/Interperiodica
Year
1995
Tongue
English
Weight
330 KB
Volume
36
Category
Article
ISSN
0037-4466

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Convexity preserving mappings in subbase
Convexity preserving mappings in subbase convexity theory
✍ J. Van Mill; M. Van De Vel 📂 Article 📅 1978 🏛 Elsevier Science ⚖ 700 KB

The present paper is a continuation of investigations on subbase convexity theory, st arte d in [7] and in [8]. We are now concerned with so-called convexity preserving (cp) mappings, a notion comparable to affine mappings in vector space theory. A first result is a characterization of cp maps in t

Convexity and semicontinuity of fuzzy ma
Convexity and semicontinuity of fuzzy mappings
✍ Yu-E. Bao; Cong-Xin Wu 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 344 KB

In this paper, a criterion for the convex fuzzy mapping is obtained under the condition of upper and lower semicontinuity, respectively. An upper (lower) semicontinuous fuzzy mapping is proved, which convexity is equivalent to weak convexity or B-vexity satisfying a special condition.

Differentiability and convexity of fuzzy
Differentiability and convexity of fuzzy mappings
✍ Yu-Ru Syau 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 469 KB

Goetschel and Voxman [1] have introduced the notion of a derivative for fuzzy mappings of one variable in a manner different from the usual one. In this paper, we define a differentiable fuzzy mapping of several variables in ways that parallel the definition, proposed by Goetschel and Voxman [1], f