Open AccessSome new results on six types mappings between L-convex spaces
Author(s) -
Xiao-Wu Zhou,
Fu-Gui Shi
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2014767z
Subject(s) - mathematics , quotient , embedding , regular polygon , type (biology) , pure mathematics , diagram , discrete mathematics , computer science , geometry , artificial intelligence , ecology , biology , statistics
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.