Open AccessSome (Lambda,b)-type mappings in topological spaces
Author(s) -
Jiarul Hoque,
Shyamapada Modak
Publication year - 2022
Publication title -
mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.294
H-Index - 6
eISSN - 2601-744X
pISSN - 1222-9016
DOI - 10.24193/mathcluj.2022.1.10
Subject(s) - lambda , type (biology) , compact space , mathematics , social connectedness , function (biology) , pure mathematics , combinatorics , physics , biology , psychology , ecology , evolutionary biology , optics , psychotherapist
We introduce and study (Lambda, b)-continuous, (Lambda, b)-irresolute and quasi-(Lambda, b)-irresolute mappings. Some characterizations and several properties concerning aforesaid mappings are obtained. The authors also introduce (Lambda, b)-compactness and (\Lambda, b)-connectedness. It is proved that (Lambda, b)-compactness (respectively (\Lambda, b)-connectedness) is preserved under (\Lambda, b)-irresolute mappings. The paper also touches the topics frontier points, Dirichlet's function, filter and algebraic structure of some functions.