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SOLUTIONS OF SYSTEMS OF VARIATIONAL INEQUALITIES ON FIXED POINTS OF NONEXPANSIVE MAPPINGS

  • Piri, Hossein (Department of Mathematics University of Bonab)
  • Received : 2012.05.09
  • Published : 2014.05.31

Abstract

In this paper, we introduce a new approximating method for finding the common element of the set of fixed points of nonexpansive mappings and the set of solution of system variational inequalities for finite family of inverse strongly monotone mappings and strictly pseudo-contractive of Browder-Petryshyn type mappings. We show that the sequence converges strongly to a common element the above two sets under some parameter controling conditions. Our results improve and extend the results announced by many others.

Keywords

fixed point;${\delta}$-strongly monotone;${\lambda}$-strictly pseudo-contractive;strong convergence;nonexpansive mapping

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