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A perturbed algorithm for strongly nonlinear variational-like inclusions

Published online by Cambridge University Press:  17 April 2009

C.-H. Lee ,
Q. H. Ansari  and
J.-C. Yao
C.-H. Lee
Affiliation:
Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan, Republic of China
Q. H. Ansari
Affiliation:
Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan, Republic of China
J.-C. Yao
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India
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Abstract

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In this paper, we define the concept of η- subdifferential in a more general setting than the one used by Yang and Craven in 1991. By using η-subdifferentiability, we suggest a perturbed algorithm for finding the approximate solutions of strongly nonlinear variational-like inclusions and prove that these approximate solutions converge to the exact solution. Several special cases are also discussed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 417 - 426
Copyright
Copyright © Australian Mathematical Society 2000

References

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