PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED STRONGLY NONLINEAR QUASIVARIATIONAL INCLUSIONS

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (7): 637-643.

PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED STRONGLY NONLINEAR QUASIVARIATIONAL INCLUSIONS

丁协平

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

收稿日期:1997-02-24 出版日期:1998-07-18 发布日期:1998-07-18
基金资助:
Project supported by the Natural Science Foundation of Sichuan Education Committee

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:1997-02-24 Online:1998-07-18 Published:1998-07-18
Supported by:
Project supported by the Natural Science Foundation of Sichuan Education Committee

摘要/Abstract

摘要： 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.

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.

丁协平. PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED STRONGLY NONLINEAR QUASIVARIATIONAL INCLUSIONS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(7): 637-643.

Ding Xieping . PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED STRONGLY NONLINEAR QUASIVARIATIONAL INCLUSIONS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(7): 637-643.

参考文献

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PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED STRONGLY NONLINEAR QUASIVARIATIONAL INCLUSIONS

PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED STRONGLY NONLINEAR QUASIVARIATIONAL INCLUSIONS

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