논문KCI 등재
WEAK CONVERGENCE OF A HYBRID ITERATIVE SCHEME WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND COMMON FIXED POINT PROBLEMS
한국수학교육학회|2014.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제21권 제3호|pp. 195-206
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초록
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 familyof asymptotically k-strictly pseudo-contractive mappings and a solution set of anequilibrium problem for a given bifunction, which is the approximation version ofthe corresponding results of Kumam et al. [1].
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 familyof asymptotically k-strictly pseudo-contractive mappings and a solution set of anequilibrium problem for a given bifunction, which is the approximation version ofthe corresponding results of Kumam et al. [1].
참고문헌 (9)
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- P.L. Combettes, "Equilibrium programming in Hilbert spaces", J. Nonlinear Convex Anal, 6, pp.117~136 (2005)
- H.H. Bauschke, "On projection algorithms for solving convex feasibility problems", SIAM Rev, 38, pp.367~426 (1996)
- X. Qin, "A hybrid iterative scheme for asymptotically k-strict pseudo-contractions in Hilbert spaces", Nonlinear Anal, 70, pp.1902~1911 (2009)
- L.S. Liu, "Ishikawa and Mann iterative process with errors for nonlinear strongly accre-tive mappings in Banach spaces", J. Math. Anal. Appl, 194, pp.114~115 (1995)
- G. Marino, "Weak and strong convergence theorems for strict pseudo-contractions in Hilbert space", J. Math. Anal. Appl, 329, pp.336~346 (2007)
- M.O. Osilike, "Weak and strong convergence theorems for ¯xed points of pseudocontractions and solutions of monotone type operator equations", Comput. Math. Appl, 40, pp.559~567 (2000)
- K.K. Tan, "Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process", J. Math. Anal. Appl, 178(2), pp.301~308 (1993)
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