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Iterative Algorithm for Finding Approximate Solutions of a Class of Mixed Variational-like Inequalities

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Abstract

The purpose of this paper is to investigate the iterative algorithm for finding approximate solutions of a class of mixed variational-like inequalities in a real Hilbert space, where the iterative algorithm is presented by virtue of the auxiliary principle technique. On one hand, the existence of approximate solutions of this class of mixed variational-like inequalities is proven. On the other hand, it is shown that the approximate solutions converge strongly to the exact solution of this class of mixed variational-like inequalities.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China

    Liu-chuan Zeng

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  1. Liu-chuan Zeng
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Correspondence to Liu-chuan Zeng.

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the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE, P.R.C.; the Dawn Program Fund in Shanghai.

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Zeng, Lc. Iterative Algorithm for Finding Approximate Solutions of a Class of Mixed Variational-like Inequalities. Acta Mathematicae Applicatae Sinica, English Series 20, 477–486 (2004). https://doi.org/10.1007/s10255-004-0185-8

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  • DOI: https://doi.org/10.1007/s10255-004-0185-8

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