논문KCI 등재
STRONG CONVERGENCE THEOREM OF COMMON ELEMENTS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
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초록
In this paper, we introduce an iterative method for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of an asymptotically strictly pseudocontractive mapping in a Hilbert space. We show that the iterative sequence converges strongly to a common element of the two sets.
Abstract
In this paper, we introduce an iterative method for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of an asymptotically strictly pseudocontractive mapping in a Hilbert space. We show that the iterative sequence converges strongly to a common element of the two sets.
참고문헌 (7)
- P. L. Combettes, "Equilibrium programming in Hilbert spaces", J. Nonlinear Convex Anal., 6, pp.117~136 (2005)
- Z-H. Sun, "Strong convergence of an implicit iteration process for a nite family of asymptotically quasi-nonexpansive mappings", J. Math. Anal. Appl., 286, pp.351~358 (2003)
- X. Qin, "Convergence theorems of common elements for equi-librium problems and xed point problems in Banach spaces", Journal of Computational and Applied Mathematics, 225, pp.20~30 (2009)
- E. Blum, "From optimization and variational inequalities to equilibrium problems", Math. Student., 63, pp.123~145 (1994)
- S. D. Flam, "Equilibrium programming using proximal-like algorithms", Math. Program., 78, pp.29~41 (1997)
- M. O. Osilike, "Demiclosedness principle and convergence theorems for strict asymptotically pseudocontraction maps", J. Math. Anal. Appl., 326, pp.1334~1345 (2007)
- C. Martinez-Yanes, "Strong convergence of the CQ method for xed point iteration processes", Nonlinear Anal., 64, pp.2400~2411 (2006)
관련 논문AI추천
CONVERGENCE THEOREMS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACESYing Liu영남수학회 · East Asian Mathematical Journal2013 · 제29권 제3호AN ITERATIVE SCHEME FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTIVE MAPPINGSYongfu Su, Ziming Wang대한수학회 · 대한수학회논문집2010 · 제25권 제1호Strong convergence of an extended extragradient method for equilibrium problems and fixed point problems김종규, 남영만, Pham Ngoc Anh대한수학회 · 대한수학회지2012 · 제49권 제1호Weak and strong convergence theorems for a system of mixed equilibrium problems and a nonexpansive mapping in Hilbert spacesKamonrat Sombut, Somyot Plubtieng대한수학회 · 대한수학회보2013 · 제50권 제2호An iterative method for solving equilibrium problem fixed point problem and generalized variational inequalities problemJuchun Li, Lijuan Zhang영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호Iterative methods for generalized equilibrium problems and nonexpansive mappings강신민, 조선영, Xiaolong Qin대한수학회 · 대한수학회논문집2011 · 제26권 제1호
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