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

Abstract

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

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

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