(F, K, b)-vex sets and some related properties

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.

Keywords:

• E-convex sets
• (E−b)-vex sets
• (F
• K
• b)-vex sets
• image processing
• line segment

2010 AMS Subject Classifications:

• 26A51
• 46N10
• 90C30

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).