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A variational-like inequality problem

Published online by Cambridge University Press:  17 April 2009

J. Parida ,
M. Sahoo  and
A. Kumar
J. Parida
Affiliation:
Department of Mathematics, Regional Engineering College, Rourkela 769008, India
M. Sahoo
Affiliation:
Ispat Vidya Mandir, Rourkela 769005, India
A. Kumar
Affiliation:
Lecturer in Mathematics, Vedvyas College, Rourkela 769041, India
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Abstract

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Given a closed and convex set K in Rn and two continuous maps F: K → Rn and η: K × K → Rn, the problem considered here is to find ε K such that

.

We call it a variational-like inequality problem, and develop a theory for the existence of a solution. We also show the relationship between the variational-like inequality problem and some mathematical programming problems.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 39 , Issue 2 , April 1989 , pp. 225 - 231
Copyright
Copyright © Australian Mathematical Society 1989

References

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