TY - JOUR
T1 - Existence Problems of Additive Selection Maps for Another Type Subadditive Set-Valued Map
AU - Yongjie Piao , 
AU - Jin , Hailan
JO - Analysis in Theory and Applications
VL - 3
SP - 294
EP - 300
PY - 2012
DA - 2012/10
SN - 28
DO - http://doi.org/10.3969/j.issn.1672-4070.2012.03.010
UR - https://global-sci.org/intro/article_detail/ata/4565.html
KW - additive selection map, subadditive, additive selection, cone.
AB - <p style="text-align: justify;">In this paper, we consider the following subadditive set-valued map $F : X \to P_0(Y):$ $$F(\sum_{i=1}^rx_i+\sum_{j=1}^sx_{r+j})\subseteq rF(\frac{\sum\limits_{i=1}^rx_i}{r})+sF(\frac{\sum\limits_{j=1}^sx_{r+j}}{s}), \forall x_i\in X, i=1,2,\cdots,r+s,$$ where $r$ and $s$ are two natural numbers. And we discuss the existence and unique problem of additive selection maps for the above set-valued map.</p>