ALGORITHM OF SOLUTIONS FOR MIXEDNONLINEAR VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACE

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (6): 521-529.

ALGORITHM OF SOLUTIONS FOR MIXEDNONLINEAR VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACE

丁协平

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

收稿日期:1996-09-09 出版日期:1998-06-18 发布日期:1998-06-18
基金资助:
Project supported by the National Natural Science Foundation of China

ALGORITHM OF SOLUTIONS FOR MIXEDNONLINEAR VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACE

Ding Xieping

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

Received:1996-09-09 Online:1998-06-18 Published:1998-06-18
Supported by:
Project supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： In this paper, the author studies a class of mixed nonlinear variational-likeinequalities in reflexive Banach space. By applying a minimax inequality obtuined bythe author, some existence uniqueness theorems of solutions for foe mixed nonlinearvariational-like inequalities are proved. Next, by applying the applying the auxiliary problemtechnique, the author suggests an innovative iterative algorithm to compute theapproximate solutions of the mixed nonlinear variational-like inequalities. Finally theconvergence criteria is also discussed.

关键词: mixed nonlinear variational-like inequality, minimax inequality, auxiliary variational inequality, general algorithm, reflexive Banach space

Abstract: In this paper, the author studies a class of mixed nonlinear variational-likeinequalities in reflexive Banach space. By applying a minimax inequality obtuined bythe author, some existence uniqueness theorems of solutions for foe mixed nonlinearvariational-like inequalities are proved. Next, by applying the applying the auxiliary problemtechnique, the author suggests an innovative iterative algorithm to compute theapproximate solutions of the mixed nonlinear variational-like inequalities. Finally theconvergence criteria is also discussed.

Key words: mixed nonlinear variational-like inequality, minimax inequality, auxiliary variational inequality, general algorithm, reflexive Banach space

丁协平. ALGORITHM OF SOLUTIONS FOR MIXEDNONLINEAR VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACE[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(6): 521-529.

Ding Xieping. ALGORITHM OF SOLUTIONS FOR MIXEDNONLINEAR VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACE[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(6): 521-529.

参考文献

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ALGORITHM OF SOLUTIONS FOR MIXEDNONLINEAR VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACE

ALGORITHM OF SOLUTIONS FOR MIXEDNONLINEAR VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACE

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