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Minimax theorems in probabilistic metric spaces

Published online by Cambridge University Press:  17 April 2009

Y.J. Cho ,
S.S. Chang ,
J.S. Jung ,
S.M. Kang  and
X. Wu
Y.J. Cho
Affiliation:
Department of MathematicsGyeongsang National UniversityChinju 660-701, Korea
S.S. Chang
Affiliation:
Department of MathematicsSichuan UniversityChengdu, Sichuan 610064 People's Republic of China
J.S. Jung
Affiliation:
Department of MathematicsDong-A UniversityPusan 604-714, Korea
S.M. Kang
Affiliation:
Department of MathematicsGyeongsang National UniversityChinju 660-701, Korea
X. Wu
Affiliation:
Department of MathematicsZhaotong Teacher's CollegeZhaotong, Yunnaan 657000 People's Republic of China
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Abstract

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In this paper, new minimax theorems for mixed lower-upper semicontinuous functions in probabilistic metric spaces are given. As applications, we utilise these results to show the existence of solutions of abstract variational inequalities, implicit variational inequalities and saddle point problems, and the existence of coincidence points in probabilistic metric spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 1 , February 1995 , pp. 103 - 119
Copyright
Copyright © Australian Mathematical Society 1995

References

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