IJPAM: Volume 100, No. 4 (2015)

SOMEWHAT $r$-CONTINUOUS AND
SOMEWHAT $r$-OPEN FUNCTIONS

N. Anuradha$^1$, Baby Chacko$^2$
$^1$Government Engineering College
West Hill, Kozhikode-5, Kerala, INDIA
$^2$St. Joseph's College
Devagiri, Kozhikode, Kerala, INDIA


Abstract. In this paper new classes of functions namely somewhat r-continuous and somewhat r-open functions are introduced and studied by making use of regular open sets and regular closed sets.Relationship between the new classes and other classes of functions like somewhat continuous, completely continuous, almost completely continuous etc., are established besides giving examples, counter examples, properties and characterisations.

Received: February 2, 2015

AMS Subject Classification: 54C08, 54C10, 54D10, 54D15

Key Words and Phrases: somewhat $r$-continuous, somewhat $r$-open, $r$-weakly equivalent topologies

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DOI: 10.12732/ijpam.v100i4.10 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 100
Issue: 4
Pages: 507 - 524


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