Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

FIXED POINTS SOLUTIONS OF GENERALIZED EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS

  • Shehu, Yekini (Ladoke Akintola University of Technology(LAUTECH), University of Nigeria) ;
  • Collins, C. Obiora (Department of Mathematics, University of Nigeria)
  • 투고 : 2009.11.30
  • 심사 : 2009.12.23
  • 발행 : 2010.09.30
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⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we introduce a new iterative scheme for finding a common element of the set of common fixed points of infinite family of nonexpansive mappings and the set of solutions to a generalized equilibrium problem and the set of solutions to a variational inequality problem in a real Hilbert space. Then strong convergence of the scheme to a common element of the three sets is proved. As applications, three new strong convergence theorems are obtained. Our theorems extend important recent results.

키워드

참고문헌

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