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Volumn 215, Issue 1, 1997, Pages 132-146

The solution by iteration of nonlinear equations in uniformly smooth Banach spaces

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; ITERATIVE METHODS; MATHEMATICAL OPERATORS; THEOREM PROVING;

EID: 0031260786     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5628     Document Type: Article
Times cited : (36)

References (35)
  • 1
    • 0000243812 scopus 로고
    • Approximationen von fixpunkten streng pseudo kontractiver operatoren (Approximation of fixed points of strongly pseudocontractive operators)
    • Bethke M. Approximationen von fixpunkten streng pseudo kontractiver operatoren (Approximation of fixed points of strongly pseudocontractive operators). Math. Naturwiss Fak. 27:1989;263-270.
    • (1989) Math. Naturwiss Fak. , vol.27 , pp. 263-270
    • Bethke, M.1
  • 2
    • 84968475614 scopus 로고
    • Nonlinear mappings of nonexpansive and accretive type in Banach spaces
    • Browder F. E. Nonlinear mappings of nonexpansive and accretive type in Banach spaces. Bull. Amer. Math. Soc. 73:1967;875-882.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 875-882
    • Browder, F.E.1
  • 3
    • 0001011342 scopus 로고
    • Nonlinear monotone and accretive operators in Banach spaces
    • Browder F. E. Nonlinear monotone and accretive operators in Banach spaces. Proc. Nat. Acad. Sci. U.S.A. 61:1968;288-393.
    • (1968) Proc. Nat. Acad. Sci. U.S.A. , vol.61 , pp. 288-393
    • Browder, F.E.1
  • 4
    • 0000827660 scopus 로고
    • Construction of fixed points of nonlinear mappings in Hilbert spaces
    • Browder F. E., Petryshyn W. V. Construction of fixed points of nonlinear mappings in Hilbert spaces. J. Math. Anal. Appl. 20:1967;197-228.
    • (1967) J. Math. Anal. Appl. , vol.20 , pp. 197-228
    • Browder, F.E.1    Petryshyn, W.V.2
  • 5
    • 84968505304 scopus 로고
    • Iterative approximation of fixed points of Lipschitz strictly pseudocontractive mappings
    • Chidume C. E. Iterative approximation of fixed points of Lipschitz strictly pseudocontractive mappings. Proc. Amer. Math. Soc. 99:1987;283-288.
    • (1987) Proc. Amer. Math. Soc. , vol.99 , pp. 283-288
    • Chidume, C.E.1
  • 6
    • 84966227927 scopus 로고
    • Approximation of fixed points of strongly pseudocontractive mappings
    • Chidume C. E. Approximation of fixed points of strongly pseudocontractive mappings. Proc. Amer. Math. Soc. 120:1994;545-551.
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 545-551
    • Chidume, C.E.1
  • 7
    • 0001559244 scopus 로고
    • Iterative solutions of nonlinear equations
    • Chidume C. E. Iterative solutions of nonlinear equations. J. Math. Anal. Appl. 192:1995;502-518.
    • (1995) J. Math. Anal. Appl. , vol.192 , pp. 502-518
    • Chidume, C.E.1
  • 8
    • 85045609736 scopus 로고    scopus 로고
    • Iterative solution of nonlinear equations of the strongly accretive type
    • C. E. Chidume, Iterative solution of nonlinear equations of the strongly accretive type, Math. Nachr.
    • Math. Nachr.
    • Chidume, C.E.1
  • 9
    • 0000892410 scopus 로고    scopus 로고
    • Steepest descent approximations for accretive operator equations
    • Chidume C. E. Steepest descent approximations for accretive operator equations. Nonlinear Anal. 26:1996;299-311.
    • (1996) Nonlinear Anal. , vol.26 , pp. 299-311
    • Chidume, C.E.1
  • 10
    • 0030174796 scopus 로고    scopus 로고
    • Iterative solutions of nonlinear equations in smooth Banach spaces
    • Chidume C. E. Iterative solutions of nonlinear equations in smooth Banach spaces. Nonlinear Anal. 26:1996;1823-1834.
    • (1996) Nonlinear Anal. , vol.26 , pp. 1823-1834
    • Chidume, C.E.1
  • 12
    • 0001203795 scopus 로고
    • Ishikawa iteration process for nonlinear Lipschitz strongly accretive mappings
    • Chidume C. E., Osilike M. O. Ishikawa iteration process for nonlinear Lipschitz strongly accretive mappings. J. Math. Anal. Appl. 192:1995;727-741.
    • (1995) J. Math. Anal. Appl. , vol.192 , pp. 727-741
    • Chidume, C.E.1    Osilike, M.O.2
  • 13
    • 84972990190 scopus 로고
    • Fixed point iterations for strictly hemi-contractive maps in uniformly smooth Banach spaces
    • Chidume C. E., Osilike M. O. Fixed point iterations for strictly hemi-contractive maps in uniformly smooth Banach spaces. Numer. Funct. Anal. Optim. 15:1994;779-790.
    • (1994) Numer. Funct. Anal. Optim. , vol.15 , pp. 779-790
    • Chidume, C.E.1    Osilike, M.O.2
  • 14
    • 0011004575 scopus 로고    scopus 로고
    • Nonlinear accretive and pseudocontractive operator equations in Banach spaces
    • C. E. Chidume, M. O. Osilike, Nonlinear accretive and pseudocontractive operator equations in Banach spaces, Nonlinear Anal.
    • Nonlinear Anal.
    • Chidume, C.E.1    Osilike, M.O.2
  • 15
    • 0000190353 scopus 로고
    • On Chidume's open questions
    • Deng L. On Chidume's open questions. J. Math. Anal. Appl. 174:1993;441-449.
    • (1993) J. Math. Anal. Appl. , vol.174 , pp. 441-449
    • Deng, L.1
  • 16
    • 0000528115 scopus 로고
    • An iterative process for nonlinear Lipschitz and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces
    • Deng L. An iterative process for nonlinear Lipschitz and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces. Acta Appl. Math. 32:1993;183-196.
    • (1993) Acta Appl. Math. , vol.32 , pp. 183-196
    • Deng, L.1
  • 18
    • 0000824218 scopus 로고
    • Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces
    • Deng L., Ding X. P. Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces. Nonlinear Anal. 24:1995;981-987.
    • (1995) Nonlinear Anal. , vol.24 , pp. 981-987
    • Deng, L.1    Ding, X.P.2
  • 19
    • 0011024533 scopus 로고    scopus 로고
    • Iterative process with errors of nonlinear equations involvingm
    • Xie, Ping, Ding, Iterative process with errors of nonlinear equations involvingm, J. Math. Anal. Appl.
    • J. Math. Anal. Appl.
    • Ding, X.P.1
  • 20
    • 84968476637 scopus 로고
    • Fixed point by a new iteration method
    • Ishikawa S. Fixed point by a new iteration method. Proc. Amer. Math. Soc. 44:1974;147-150.
    • (1974) Proc. Amer. Math. Soc. , vol.44 , pp. 147-150
    • Ishikawa, S.1
  • 21
    • 84972539029 scopus 로고
    • Nonlinear semigroups and evolution equations
    • Kato T. Nonlinear semigroups and evolution equations. J. Math. Soc. Japan. 19:1967;508-520.
    • (1967) J. Math. Soc. Japan , vol.19 , pp. 508-520
    • Kato, T.1
  • 22
    • 21744441036 scopus 로고    scopus 로고
    • Approximation of fixed points of strictly pseudocontractive mappings
    • Liu L. Approximation of fixed points of strictly pseudocontractive mappings. Proc. Amer. Math. Soc. 125:1997;1363-1366.
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 1363-1366
    • Liu, L.1
  • 23
    • 0001492915 scopus 로고
    • Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
    • Liu L. S. Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces. J. Math. Anal. Appl. 194:1995;114-125.
    • (1995) J. Math. Anal. Appl. , vol.194 , pp. 114-125
    • Liu, L.S.1
  • 24
    • 84968518052 scopus 로고
    • Mean value methods in iteration
    • Mann W. R. Mean value methods in iteration. Proc. Amer. Math. Soc. 4:1953;506-510.
    • (1953) Proc. Amer. Math. Soc. , vol.4 , pp. 506-510
    • Mann, W.R.1
  • 25
    • 0041868512 scopus 로고
    • An iterative procedure for constructing zeros of accretive sets in Banach spaces
    • Reich S. An iterative procedure for constructing zeros of accretive sets in Banach spaces. Nonlinear Anal. 2:1978;85-92.
    • (1978) Nonlinear Anal. , vol.2 , pp. 85-92
    • Reich, S.1
  • 26
    • 0000040468 scopus 로고
    • Constructing zeros of accretive operators, I
    • Reich S. Constructing zeros of accretive operators, I. Appl. Anal. 8:1979;349-352.
    • (1979) Appl. Anal. , vol.8 , pp. 349-352
    • Reich, S.1
  • 27
    • 84950221852 scopus 로고
    • Constructing zeros of accretive operators, II
    • Reich S. Constructing zeros of accretive operators, II. Appl. Anal. 9:1979;150-163.
    • (1979) Appl. Anal. , vol.9 , pp. 150-163
    • Reich, S.1
  • 28
    • 33745998912 scopus 로고
    • Strong convergence theorems for resolvents of accretive operators in Banach spaces
    • Reich S. Strong convergence theorems for resolvents of accretive operators in Banach spaces. J. Math. Anal. Appl. 85:1980;257-292.
    • (1980) J. Math. Anal. Appl. , vol.85 , pp. 257-292
    • Reich, S.1
  • 29
    • 84985311471 scopus 로고
    • On a theorem of C. E. Chidume concerning the iterative approximation of fixed points
    • Schu J. On a theorem of C. E. Chidume concerning the iterative approximation of fixed points. Math. Nachr. 153:1991;313-319.
    • (1991) Math. Nachr. , vol.153 , pp. 313-319
    • Schu, J.1
  • 30
    • 0001944173 scopus 로고
    • Iterative construction of fixed points of strictly pseudocontractive mappings
    • Schu J. Iterative construction of fixed points of strictly pseudocontractive mappings. Appl. Anal. 40:1991;67-72.
    • (1991) Appl. Anal. , vol.40 , pp. 67-72
    • Schu, J.1
  • 31
    • 0003117605 scopus 로고
    • Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces
    • Tan K. K., Xu H. K. Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces. J. Math. Anal. Appl. 178:1993;9-21.
    • (1993) J. Math. Anal. Appl. , vol.178 , pp. 9-21
    • Tan, K.K.1    Xu, H.K.2
  • 32
    • 84968513584 scopus 로고
    • Fixed point iteration for local strictly pseudocontractive mappings
    • Weng X. L. Fixed point iteration for local strictly pseudocontractive mappings. Proc. Amer. Math. Soc. 113:1991;727-731.
    • (1991) Proc. Amer. Math. Soc. , vol.113 , pp. 727-731
    • Weng, X.L.1
  • 33
    • 0007417686 scopus 로고
    • Inequalities in Banach spaces with applications
    • Xu H. K. Inequalities in Banach spaces with applications. Nonlinear Anal. 16:1991;1127-1138.
    • (1991) Nonlinear Anal. , vol.16 , pp. 1127-1138
    • Xu, H.K.1
  • 34
    • 50749132985 scopus 로고
    • Characteristic inequalities of uniformly convex and uniformly smooth spaces
    • Xu Z. B., Roach G. F. Characteristic inequalities of uniformly convex and uniformly smooth spaces. J. Math. Anal. Appl. 157:1991;189-210.
    • (1991) J. Math. Anal. Appl. , vol.157 , pp. 189-210
    • Xu, Z.B.1    Roach, G.F.2
  • 35
    • 0001471894 scopus 로고
    • Iterative solution of nonlinear equations involvingm
    • Zhu L. Iterative solution of nonlinear equations involvingm. J. Math. Anal. Appl. 188:1994;410-415.
    • (1994) J. Math. Anal. Appl. , vol.188 , pp. 410-415
    • Zhu, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.