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ISSN : 1226-0657

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Vol.21 No.3
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WEAK CONVERGENCE OF A HYBRID ITERATIVE SCHEME WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND COMMON FIXED POINT PROBLEMS

WEAK CONVERGENCE OF A HYBRID ITERATIVE SCHEME WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND COMMON FIXED POINT PROBLEMS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2014, v.21 no.3, pp.195-206
https://doi.org/10.7468/jksmeb.2014.21.3.195
Kim, Seung-Hyun (Department of Mathematics, Kyungsung University)
Lee, Byung-Soo (Department of Mathematics, Kyungsung University)
Kim, Seung-Hyun, & Lee, Byung-Soo. (2014). WEAK CONVERGENCE OF A HYBRID ITERATIVE SCHEME WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND COMMON FIXED POINT PROBLEMS. 한국수학교육학회지시리즈B:순수및응용수학, 21(3), 195-206, https://doi.org/10.7468/jksmeb.2014.21.3.195
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Abstract

In this paper, we consider, under a hybrid iterative scheme with errors, a weak convergence theorem to a common element of the set of a finite family of asymptotically k-strictly pseudo-contractive mappings and a solution set of an equilibrium problem for a given bifunction, which is the approximation version of the corresponding results of Kumam et al.

keywords
equilibrium problems, fixed point problems, asymptotically k-strictly pseudo-contractive mappings, hybrid iterative scheme

참고문헌

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H.H. Bauschke & J.M. Borwein. (1996). On projection algorithms for solving convex feasibility problems. SIAM Rev., 38, 367-426. 10.1137/S0036144593251710.

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P. Kumam, N. Petrot & R. Wangkeeree. (2010). A hybrid iterative scheme for equilibrium problems and fixed point problems of asymptotically k-strict pseudo-contractions. J. Comp. Appl. Math., 233, 2013-2026. 10.1016/j.cam.2009.09.036.

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X. Qin, Y.J. Cho, S.M. Kang & M. Shang. (2009). A hybrid iterative scheme for asymptotically k-strict pseudo-contractions in Hilbert spaces. Nonlinear Anal., 70, 1902-1911. 10.1016/j.na.2008.02.090.

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M.O. Osilike & D.I. Igbokwe. (2000). Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations. Comput. Math. Appl., 40, 559-567. 10.1016/S0898-1221(00)00179-6.

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K.K. Tan & H.K. Xu. (1993). Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process. J. Math. Anal. Appl., 178(2), 301-308. 10.1006/jmaa.1993.1309.

한국수학교육학회지시리즈B:순수및응용수학

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