Some (Lambda,b)-type mappings in topological spaces | Zendy

Jiarul Hoque | Zendy; Shyamapada Modak | Zendy

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Some (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.

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