Abstract
In this paper, we introduce the concept of (F, K, b)-vex sets in vector spaces which is a generalization of (E-b)-vex sets given by Mishra, Mohapatra and Youness. Some properties of (F, K, b)-vex sets are investigated.
Acknowledgements
This research was supported by the Fundamental Research Funds for the Central Universities (DL09BB40) and by the National Natural Science Foundation of China (Grant No. 10801040).