Degrees of special mappings in the theory of <i>L</i> -convex spaces

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.