Zacytuj

[1] T.D. Benavides, G.L. Acedo, H.K. Xu, Iterative solutions for zeros of accretive operators, Math. Nachr. 248 (2003) 62-71. 10.1002/mana.200310003Search in Google Scholar

[2] H. Brézis, P.L. Lions, Produits infinis de resolvants, Israel J. Math. 29 (1978) 329-345. 10.1007/BF02761171Search in Google Scholar

[3] R.E. Bruck, A strongly convergent iterative method for the solution of 0 ∈ Ux for a maximal monotone operator U in Hilbert space, J. Math. Appl. Anal. 48 (1974) 114-126. 10.1016/0022-247X(74)90219-4Search in Google Scholar

[4] R.E. Bruck, G.B. Passty, Almost convergence of the infinite product of resolvents in Banach spaces, Nonlinear Anal. 3 (1979) 279-282. 10.1016/0362-546X(79)90083-XSearch in Google Scholar

[5] R.E. Bruck, S. Reich, Nonlinear projections and resolvents of accretive operators in Banach spaces, Houston. J. Math. 3 (1977) 459-470. Search in Google Scholar

[6] F.E. Browder, Semicontractive and semiaccretive nonlinear mappings, in Banach spaces, Bull. Amer. Math. Soc. 74 (1968) 660-665. 10.1090/S0002-9904-1968-11983-4Search in Google Scholar

[7] Y.J. Cho, H. Zhou, J.K. Kim, Iterative approximations of zeros for accre- tive operators in Banach spaces, Commun. Korean. Math. Soc. 21 (2006) 237-251. 10.4134/CKMS.2006.21.2.237Search in Google Scholar

[8] L.C. Ceng, S.Y.Wu, J.C. Yao, New accuracy criteria for modified approx- imate proximal point algorithms in Hilbert spaces, Taiwanese J. Math. 12 (2008) 1691-1705. Search in Google Scholar

[9] J.S. Jung, Y.J. Cho, H. Zhou, Iterative processes with mixed errors for nonlinear equations with perturbed m-accretive operators in Banach spaces, Appl. Math. Comput. 133 (2002) 389-406. Search in Google Scholar

[10] S. Kamimura, W. Takahashi, Weak and strong convergence of solutions to accretive operator inclusions and Applications, Set-Valued Anal. 8 (2000) 361-374. 10.1023/A:1026592623460Search in Google Scholar

[11] S. Kamimura, W. Takahashi, Approximating solutions of maximal mono- tone operators in Hilbert spaces, J. Approx. Theory, 106 (2000) 226-240. Search in Google Scholar

[12] L.S. Liu, Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces, J. Math. Anal. Appl. 194 (1995) 114-125. 10.1006/jmaa.1995.1289Search in Google Scholar

[13] Z. Opial, Weak convergence of the sequence of successive a pproximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967) 591-597. 10.1090/S0002-9904-1967-11761-0Search in Google Scholar

[14] A. Pazzy, Remarks on nonlinear ergodic theory in Hilbert space, Nonlin- ear Anal. 6 (1979) 863-871. 10.1016/0362-546X(79)90053-1Search in Google Scholar

[15] X. Qin, S.M. Kang, Y.J. Cho, Approximating zeros of monotone operators by proximal point algorithms, J. Glob. Optim. 46 (2010) 75-87. 10.1007/s10898-009-9410-6Search in Google Scholar

[16] X. Qin, Y. Su, Approximation of a zero point of accretive operator in Banach spaces, J. Math. Anal. Appl. 329 (2007) 415-424. 10.1016/j.jmaa.2006.06.067Search in Google Scholar

[17] R.T. Rockafellar, Monotone operators and the proximal point algorithm, SIAM J. Control Optim. 14 (1976) 877-898. 10.1137/0314056Search in Google Scholar

[18] R.T. Rockafellar, Characterization of the subdifferentials of convex func- tions , Pacific J. Math. 17 (1966) 497-510. 10.2140/pjm.1966.17.497Search in Google Scholar

[19] S. Reich, On infinite products of resolvents, Atti Acad. Naz Lincei 63 (1977) 338-340. Search in Google Scholar

[20] S. Reich, Weak convergence theorems for resolvents of accretive operators in Banach space, J. Math. Anal. Appl. 67 (1979) 274-276. 10.1016/0022-247X(79)90024-6Search in Google Scholar

[21] S. Reich, Strong convergence theorems for resolvents of accretive opera- tors in Banach spaces, J. Math. Anal. Appl. 75 (1980) 287-292. 10.1016/0022-247X(80)90323-6Search in Google Scholar

[22] S. Reich, Constructing zeros of accretive operators, Appl. Anal. 8 (1979) 349-352. 10.1080/00036817908839243Search in Google Scholar

[23] W. Takahashi, Y. Ueda, On Reich’s strong convergence theorems for re- solvents of accretive operators, J. Math. Anal. Appl. 104 (1984) 546-553. 10.1016/0022-247X(84)90019-2Search in Google Scholar

[24] W. Takahashi, Viscosity approximation methods for resolvents of acretive operators in Banach space, J. Fixed Point Theory Appl. 1 (2007) 135-147. 10.1007/s11784-006-0004-3Search in Google Scholar

[25] K.K. Tan, H.K. Xu, Approximating fixed points of nonexpansive map- pings by the Ishikawa iteration process, J. Math. Anal. Appl. 178 (1993) 301-308. 10.1006/jmaa.1993.1309Search in Google Scholar

[26] H.K. Xu, Iterative algorithms for nonlinear operators, J. London Math. Soc. 66 (2002) 240-256. 10.1112/S0024610702003332Search in Google Scholar

[27] H. Zhou, Remarks on the approximation methods for nonlinear operator equations of the m-accretive type, Nonlinear Anal. 42 (2000) 63-69. 10.1016/S0362-546X(99)00135-2Search in Google Scholar

eISSN:
1844-0835
Język:
Angielski
Częstotliwość wydawania:
Volume Open
Dziedziny czasopisma:
Mathematics, General Mathematics