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A note on arewise connected sets and functions

Published online by Cambridge University Press:  17 April 2009

Shri Ram Yadav  and
R.N. Mukherjee
Shri Ram Yadav
Affiliation:
Mathematics Section, School of Applied Sciences, Institute of Technology, Banaras Hindu University, Varanasi 221005, India.
R.N. Mukherjee
Affiliation:
Mathematics Section, School of Applied Sciences, Institute of Technology, Banaras Hindu University, Varanasi 221005, India.
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Abstract

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We introduce a new class of generalized arcwise connected functions and discuss their basic properties. Our generalization is illustrated by an example and an application is given for a mathematical programming problem involving this new class of functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 3 , June 1985 , pp. 369 - 375
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Avriel, M. and Zang, I., “Generalized arcwise connected functions and characterizations of local-global minimum properties”, J. Optim. Theory Appl. 32 (1980), 407–425.CrossRefGoogle Scholar
[2]Ortega, J.M. and Rheinboldt, W.C., Iterative solutions of nonlinear equations in several variables (Academic Press, New York and London, 1970).Google Scholar
[3]Singh, C., “Elementary properties of arcwise-connected sets and functions”, J. Optim. Theory Appl. 41 (1983), 377–387.Google Scholar