Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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A NEW METHOD FOR A FINITE FAMILY OF PSEUDOCONTRACTIONS AND EQUILIBRIUM PROBLEMS

  • Anh, P.N. (Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology) ;
  • Son, D.X. (Hanoi Institute of Mathematics)
  • 투고 : 2010.11.08
  • 심사 : 2011.03.28
  • 발행 : 2011.09.30
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초록

In this paper, we introduce a new iterative scheme for finding a common element of the set of fixed points of a finite family of strict pseudocontractions and the solution set of pseudomonotone and Lipschitz-type continuous equilibrium problems. The scheme is based on the idea of extragradient methods and fixed point iteration methods. We show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.

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참고문헌

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