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Volumn 213, Issue 1, 1997, Pages 296-307

Iterative solution of nonlinear equations involving strongly accretive operators without the lipschitz assumption

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; THEOREM PROVING;

EID: 0031215241     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5539     Document Type: Article
Times cited : (33)

References (17)
  • 1
    • 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
  • 2
    • 0002747662 scopus 로고
    • Nonlinear operators and nonlinear equations of evolution in Banach spaces
    • Browder F. E. Nonlinear operators and nonlinear equations of evolution in Banach spaces. Proc. Sympos. Pure. Math. 18:1976.
    • (1976) Proc. Sympos. Pure. Math. , vol.18
    • Browder, F.E.1
  • 3
    • 84972539029 scopus 로고
    • Nonlinear semigroups and evolution equations
    • Kato T. Nonlinear semigroups and evolution equations. J. Math. Soc. Japan. 18/19:1967;508-520.
    • (1967) J. Math. Soc. Japan , vol.1819 , pp. 508-520
    • Kato, T.1
  • 5
    • 0001559244 scopus 로고
    • Iterative solution of nonlinear equations with strongly accretive operators
    • Chidume C. E. Iterative solution of nonlinear equations with strongly accretive operators. J. Math. Anal. Appl. 192:1995;502-518.
    • (1995) J. Math. Anal. Appl. , vol.192 , pp. 502-518
    • 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
  • 8
    • 0001399612 scopus 로고
    • Zeros of accretive operators
    • Deimling K. Zeros of accretive operators. Manuscripta Math. 13:1974;283-288.
    • (1974) Manuscripta Math. , vol.13 , pp. 283-288
    • Deimling, K.1
  • 9
    • 0000593264 scopus 로고
    • Surjectivity theorems for multi-valued mappings of accretive type
    • Morales C. Surjectivity theorems for multi-valued mappings of accretive type. Comment. Math. Univ. Carolin. 26:1985.
    • (1985) Comment. Math. Univ. Carolin. , vol.26
    • Morales, C.1
  • 10
    • 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
  • 11
    • 84968513584 scopus 로고
    • Fixed point iteration for local strictly pseudo-contractive mapping
    • Weng X. L. Fixed point iteration for local strictly pseudo-contractive mapping. Proc. Amer. Math. Soc. 113:1991;727-731.
    • (1991) Proc. Amer. Math. Soc. , vol.113 , pp. 727-731
    • Weng, X.L.1
  • 12
    • 0003117605 scopus 로고
    • Iterative solution to nonlinear equations of strongly accretive operators in Banach spaces
    • Tan K. K., Xu H. K. Iterative solution 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
  • 14
    • 84968494889 scopus 로고
    • A global existence theorem for autonomous differential equations in Banach spaces
    • Martin R. H. Jr. A global existence theorem for autonomous differential equations in Banach spaces. Proc. Amer. Math. Soc. 26:1970;307-314.
    • (1970) Proc. Amer. Math. Soc. , vol.26 , pp. 307-314
    • Martin R.H., Jr.1
  • 15
    • 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
  • 16
    • 84968499765 scopus 로고
    • Fixed point and iteration of a nonexpansive mapping in a Banach space
    • Ishikawa S. Fixed point and iteration of a nonexpansive mapping in a Banach space. Proc. Amer. Math. Soc. 73:1976;65-71.
    • (1976) Proc. Amer. Math. Soc. , vol.73 , pp. 65-71
    • Ishikawa, S.1
  • 17
    • 84966205999 scopus 로고
    • On the convergence of some iteration processes in uniformly convex Banach spaces
    • Gwinner J. On the convergence of some iteration processes in uniformly convex Banach spaces. Proc. Amer. Math. Soc. 81:1978;29-35.
    • (1978) Proc. Amer. Math. Soc. , vol.81 , pp. 29-35
    • Gwinner, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.