참고문헌
- G.L. Acedo and H.K. Xu, Iterative methods for strict pseudocontractions in Hilbert spaces, Nonlinear Anal. 67 (2007), 2258-2271. https://doi.org/10.1016/j.na.2006.08.036
- Ya.I. Alber, On the stability of iterative approximations to fixed points of nonexpansive mappings, J. Math. Anal. Appl. 328 (2007), 958-971. https://doi.org/10.1016/j.jmaa.2006.05.063
- E.F. Browder, Fixed-point theorems for noncompact mappings in Hilbert spaces, Proceed. Nat. Acad. Sci. USA 53 (1965), 1272-1276. https://doi.org/10.1073/pnas.53.6.1272
- L.C Ceng, N. Hadjisavvas, and Ng. Ch. Wong, Strong convergence theorem by hybrid extragradient-like approximation method for variational inequalities and fixed poit problems, J. of Glob. Optim. 46(4) (2010), 635-646. https://doi.org/10.1007/s10898-009-9454-7
- C.E. Chidume, S.A. Mutangadura, An example on the Mann iteration method for Lipschitz pseudocontraction, Proc. Amer. Math. Soc. 129 (2001), 2359-2363. item https://doi.org/10.1090/S0002-9939-01-06009-9
- R. DeMarr, Common fixed points for commuting contraction mappings, Pacific J. Math. 13 (1963), 1139-1141. https://doi.org/10.2140/pjm.1963.13.1139
- A. Genel, J. Lindenstrass, An example concerning fixed points, Israel J. Math. 22 (1975), 81-86. https://doi.org/10.1007/BF02757276
- K. Goebel and W.A. Kirk, Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Math., V. 28, Cambridge Univ. Press, Cambridge 1990.
- O. Guuler, On the convergence of the proximal point algorithm for convex minimization, SIAM J. Contr. Optim. 29 (1991), 403-419. https://doi.org/10.1137/0329022
- H. He and R. Chen, Strong convergence theorems of the CQ method for nonexpansive semigroups, FPTA 2007, DOI: 10.1155/2007/59735.
- H. Iiduka, and W. Takahashi, Strong convergence theorems for nonexpansive nonself mappings and inverse-strongly monotone mappings, J. of Conv. Anal. 11(1) (2004), 69-79.
- S. Ishikawa, Fixed point by new iteration method, Proc. Amer. Math. Soc. 44 (1974), 147-150. https://doi.org/10.1090/S0002-9939-1974-0336469-5
- T.H. Kim, Strong convergence of approximating fixed point sequences for relatively nonlinear mappings, Thai J. Math. 6 (2008), 17-35.
- G.M. Korpelevich, The extragradient method for finding sadle points and other problems, Matecon. 12 (1976), 747-756.
- W.R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-510. https://doi.org/10.1090/S0002-9939-1953-0054846-3
- G. Marino and H.K. Xu, Weak and strong convergence theorems for stric pseudocontractions in Hilbert spaces, J. Math. Anal. Applic. 329 (2007), 336-346. https://doi.org/10.1016/j.jmaa.2006.06.055
- C. Martinez-Yanes and H.K. Xu, Strong convergence of the CQ method for fixed iteration processes, Nonlinear Anal. 64 (2006), 2400-2411. https://doi.org/10.1016/j.na.2005.08.018
- R.E. Megginson, An introduction to Banach space theory, vol. 183 of Graduate texts in Mathematics, Springer, New York, NY, USA, 1998.
- N. Nadezhkina, and W. Takahashi, Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings, J. Optim. Theory and Appl. 128, 191-201 (2006), 191-201. https://doi.org/10.1007/s10957-005-7564-z
- N. Nadezhkina, and W. Takahashi, Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz continuous monotone mappings, SIAM J. Optim. 16(4) (2006), 1230-1241. https://doi.org/10.1137/050624315
- K. Nakajo and W. Takahashi, Strong convergence theorem for nonexpansive mappings and nonexpansive semigroup, J. Math. Anal. Applic. 279 (2003), 372-379. https://doi.org/10.1016/S0022-247X(02)00458-4
- Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc., 73 (1967), 591-597. https://doi.org/10.1090/S0002-9904-1967-11761-0
- R.T. Rockafellar, On the maximality of of sums of nonlinear monotone operators, Trans. Amer. Math. Soc. 149 (1970), 75-88. https://doi.org/10.1090/S0002-9947-1970-0282272-5
- R.T. Rockafellar, Monotone operators and proximal point algorithm, SIAM J. Contr. Optim. 14 (1976), 877-897. https://doi.org/10.1137/0314056
- S. Saejung, Strong convergence theorems for nonexpansive semigroups without Bochner integrals, FPTA, 2008, DOI: 10.1155/2008/745010.
- N. Shioji and W. Takahashi, Strong convergence theorems for continuous semigroup in Banach spaces, Math. Japon 50 (1999), 57-66.
- M.V. Solodov, B.F. Svaiter, Forcing strong convergence of proximal point iterations in Hilbert space, Math. Progr. 87 (2000), 189-202.
- Y. Su, M. Shang, and D. Wang, Strong convergence on monotone CQ algorithm for relatively nonexpansive mappings, Banach J. Math. Anal. 2 (2008), 1-10.
- Y. Su and X. Qin, Monotone CQ iteration processes for nonexpansive semigroups and maximal monotone operators, Nonlinear Anal. 68 (2008), 3657-3664. https://doi.org/10.1016/j.na.2007.04.008
- J. Sun, Y. Yu, and R. Chen, Convergence theorems of CQ iteration processes for a finite family of averaged mappings in Hilbert spaces, Int. J. Math. Anal. 2 (2008), 1045-1049.
- W. Takahashi, and M. Toyoda, Weak convergence theorem for nonexpansive mappings and monotone mappings, J. Optim. Theory and Appl. 118(2) (2003), 417-428. https://doi.org/10.1023/A:1025407607560
- Y. Yao and R. Chen, Strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Appl. Math. Comput. DOI: 10.1007/s12190-009-0233-x.