IJPAM: Volume 100, No. 4 (2015)
SOMEWHAT -OPEN FUNCTIONS
Government Engineering College
West Hill, Kozhikode-5, Kerala, INDIA
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 -continuous, somewhat -open, -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
Pages: 507 - 524
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