Proximal Point Algorithm with Errors for Generalized Strongly Nonlinear Quasivariational Inclusions

Ding Xieping

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Ding Xieping. Proximal Point Algorithm with Errors for Generalized Strongly Nonlinear Quasivariational Inclusions[J]. Applied Mathematics and Mechanics, 1998, 19(7): 597-602.

Citation:

Ding Xieping. Proximal Point Algorithm with Errors for Generalized Strongly Nonlinear Quasivariational Inclusions[J]. Applied Mathematics and Mechanics, 1998, 19(7): 597-602.

Citation:

Ding Xieping. Proximal Point Algorithm with Errors for Generalized Strongly Nonlinear Quasivariational Inclusions[J]. Applied Mathematics and Mechanics, 1998, 19(7): 597-602.

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Proximal Point Algorithm with Errors for Generalized Strongly Nonlinear Quasivariational Inclusions

Ding Xieping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China

Received Date: 1997-02-24
Publish Date: 1998-07-15

Abstract

Abstract

In this paper,a class of generalized strongly nonlinear quasivariational in clusions are studied.By using the properties of the resolvent opera for associated with amaximal monotone mapping in Hilbert space,an existence theorem of solutions forgene ralized strongly nonlinear quasi variational inclusion is established and a new proximal point algorithm with errors is suggested for finding approximate solutions which strongly converge to the exact solution of the generalized strongly nonlinearquasivariational inclusion.As special cases,some known results in this field are also discussed.
- generalized strongly nonlinear quasivariational inclusion,
- proximal point algorithm with errors

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References(14)

References

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