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CONVERGENCE THEOREMS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACES

Ying Liu
영남수학회 (Youngnam Mathematical Society)|2013.05|East Asian Mathematical Journal|제29권 제3호|pp. 303-314|DOI http://dx.doi.org/10.7858/eamj.2013.021

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참고문헌

키워드

Metric projectionsemi-compactnessGeneralized equilibrium problemAsymptotically k-strict pseudo-contraction;Uniformly L-Lipschitzian
주제분류수학

초록

In this paper, we introduce an iterative scheme for nding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a nite family of asymptotically k-strict pseudo-contractions in Hilbert spaces. Weak and strong convergence theorems are established for the iterative scheme.

Abstract

In this paper, we introduce an iterative scheme for nding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a nite family of asymptotically k-strict pseudo-contractions in Hilbert spaces. Weak and strong convergence theorems are established for the iterative scheme.

참고문헌 (13)

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  8. X. Qin, "A hybrid iterative scheme for asymptotically k-strict pseudo-contractions in Hilbert spaces", Nonlinear Anal, 70, pp.1902~1911 (2009)
  9. A. Tada, "Strong convergence theorem for an equilibrium problem and a nonexpansive mapping", J. Optim. Theory Appl, 133, pp.359~370 (2007)
  10. S. Takahashi, "Strong convergence theorems for a generalized equi- librium problem and a nonexpansive mapping in a Hilbert space", Nonlinear Anal, 69, pp.1025~1033 (2008)
  11. S. Takahashi, "Viscosity approximation methods for equilibrium prob- lems and xed point problems in Hilbert spaces", J. Math. Anal. Appl, 331, pp.506~515 (2007)
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관련 논문AI추천

AN ITERATIVE SCHEME FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTIVE MAPPINGSYongfu Su, Ziming Wang대한수학회 · 대한수학회논문집2010 · 제25권 제1호STRONG CONVERGENCE THEOREM OF COMMON ELEMENTS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMSLijuan Zhang, Zhibin Hou영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호Weak and strong convergence theorems for an asymptotically k-strict pseudo-contraction and a mixed equilibrium problemHaiyun Zhou, Yeong-Cheng Liou, Yonghong Yao대한수학회 · 대한수학회지2009 · 제46권 제3호WEAK CONVERGENCE THEOREMS FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS, MONOTONE MAPPINGS AND PSEUDOCONTRACTIVE MAPPINGS정종수대한수학회 · 대한수학회지2015 · 제52권 제6호WEAK CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS AND NONSPREADING MAPPINGS IN HILBERT SPACESLi Jiang, Yongfu Su대한수학회 · 대한수학회논문집2012 · 제27권 제3호Weak and strong convergence theorems for a system of mixed equilibrium problems and a nonexpansive mapping in Hilbert spacesKamonrat Sombut, Somyot Plubtieng대한수학회 · 대한수학회보2013 · 제50권 제2호

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