Affiliations: [a]
School of Mathematics and Information Sciences, Yantai University, Yantai, China
| [b]
School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, China
| [c]
College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China
Correspondence:
[*]
Corresponding author. Qing-Hua Li, School of Mathematics and Information Sciences, Yantai University, Yantai 264005, China. E-mail: lqh@ytu.edu.cn and Zhen-Yu Xiu, College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610000, China. E-mail: xiuzhenyu112@sohu.com.
Abstract: By using the residual implication on a frame L, a degree approach to special mappings in L-convex spaces and L-interval spaces is introduced. In the framework of L-convex spaces, degrees of L-CP mappings and L-CC mappings between L-convex spaces are defined. Also, in the situation of L-interval spaces, degrees of L-IP mappings and L-AIP mappings are proposed. Moreover, many conclusions with respect to theses mappings are discussed in a degree sense.
