Strong convergence of some iterative algorithms for a general system of variational inequalities

نویسندگان

  • Jong Soo Jung
  • M. Eslamian
  • J. S. Jung
چکیده

In this paper, we introduce two iterative algorithms (one implicit algorithm and one explicit algorithm) for finding a common element of the solution set of a general system of variational inequalities for continuous monotone mappings and the fixed point set of a continuous pseudocontractive mapping in a Hilbert space. First, this system of variational inequalities is proven to be equivalent to a fixed point problem of nonexpansive mapping. Then we establish strong convergence of the sequence generated by the proposed iterative algorithms to a common element of the solution set and the fixed point set, which is the unique solution of a certain variational inequality. c ©2017 All rights reserved.

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تاریخ انتشار 2017