IJPAM: Volume 110, No. 2 (2016)

Title

ON FUNCTIONS WITH STRONGLY CLOSED GRAPH

Authors

Asha Gupta$^1$, Kamal Kishore$^2$
$^{1,2}$Department of Applied Sciences
PEC University of Technology
Chandigarh, INDIA

Abstract

The primary purpose of this paper is to study functions with strongly closed graph and consequently a characterization of such functions in terms of r-convergence of nets is obtained. Further, conditions are investigated under which other functions such as continuous, almost continuous, closed , almost closed functions have strongly closed graph.

History

Received: June 24, 2016
Revised: October 21, 2016
Published: November 5, 2016

AMS Classification, Key Words

AMS Subject Classification: 54A20, 54C10
Key Words and Phrases: Continuous, closed, strongly closed graph.

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Bibliography

1
R. V. Fuller, Relations among continuous and various non continuous functions, Pacific J. Math., 25 (1968), 495-509.

2
T.R. Hamlett, L.L. Herrington, The closed graph and p-closed properties in general topology, Amer. Math. Soc., Providence Rhode Island (1981).

3
L.L. Herrington, P.E. Long, Characterizations Of H-closed spaces, Proc. Amer. Math. Soc., 48, No. 2 (1975), 468-475.

4
J.L. Kelly, General Topology, D. Van Nostrand, Co. Princeton (1955).

5
P.E. Long, Functions with closed graph, Amer. Math. Monthly, 16, No. 8 (1969), 930-932.

How to Cite?

DOI: 10.12732/ijpam.v110i2.12 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: 2016
Volume: 110
Issue: 2
Pages: 383 - 387


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