Some new results on six types mappings between L-convex spaces

The aim of this paper is devoted to present some new results on six types of special mappings between L-convex spaces. For this purpose, we first make a summary about some novel elementary properties of L-CP mappings and L-CC mappings. Secondly, we propose the definitions of almost LCC mappings, L-isomorphic mappings and L-embedding mappings and investigate their fundamental characterizations. Finally, we establish the connections between L-quotient mappings and L-quotient spaces. As a summary, we give a diagram to show the relationships among all the above-mentioned mappings.