IJPAM: Volume 94, No. 5 (2014)

SUFFICIENT CONDITIONS FOR CONTINUITY OF MAPS

Asha Gupta
Department of Applied Sciences
PEC University of Technology
Chandigarh, INDIA


Abstract. A function $f: X\rightarrow Y$ is said to have closed graph if graph of $f$, i.e. the set $(x,f(x))$ is a closed subset of the product space $X\times Y$. It is well established fact that a function with closed graph is KC as well as inversely KC. Moreover, a function with closed graph is continuous if $Y$ is compact. In the present paper, some conditions are investigated under which an inversely KC map or KC map becomes continuous.

Received: June 19, 2014

AMS Subject Classification: 54C05

Key Words and Phrases: continuous graph, closed graph, KC, inversely KC, Frechet space

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DOI: 10.12732/ijpam.v94i5.12 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: 2014
Volume: 94
Issue: 5
Pages: 737 - 740


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