본문 바로가기
KERD
논문KCI 등재

An iterative method for solving equilibrium problem fixed point problem and generalized variational inequalities problem

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we introduce a new iterative scheme for nding a common element of the set of an equilibrium problem, the set of xed points of nonexpansive mapping and the set of solutions of the generalized variational inequality for α-inverse strongly g-monotone mapping in a Hilbert space. Under suitable conditions, strong convergence theorems for approximating a common element of the above three sets are obtained.

Abstract

In this paper, we introduce a new iterative scheme for nding a common element of the set of an equilibrium problem, the set of xed points of nonexpansive mapping and the set of solutions of the generalized variational inequality for α-inverse strongly g-monotone mapping in a Hilbert space. Under suitable conditions, strong convergence theorems for approximating a common element of the above three sets are obtained.

참고문헌 (8)

  1. M. Aslam Noor, "General variational inequalities", Appl. Math. Lett, (1), pp.119~121 (1988)
  2. G. Stampacchia, "Fromes bilineaires sur les ensembles convexes", C. R. Acad. Sci. Paris, (258), pp.4413~4416 (1964)
  3. L. Zhang, "Viscosity approximation methods for nonexpansive mappings and Generalized Variational Inequalities", Acta Mathematica Sinica, Chinese Series, 4(53), pp.691~698 (2010)
  4. Y. Su, "An iterative method of solution for equilibrium and opti-mization problems", Nonlinear Analysis, (69), pp.2709~2719 (2008)
  5. E. Blum, "From optimization and variational inequalities to equilibrium problems", Math. Student, (63), pp.123~145 (1994)
  6. P. L. Combettes, "Equilibrium programming using proximal-like algorithms", Math. Program, (78), pp.29~41 (1997)
  7. A. Goebel, "Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Mathematics 28" (1990), Cambridge University Press
  8. H. K. Xu, "An iterative approach to quadratic optimization", J. Optim. Theory Appl, (116), pp.659~678 (2003)

관련 논문AI추천

이 간행물의 다른 논문 (9건)