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Volumn 30, Issue 7, 1997, Pages 4197-4208

Some problems and results in the study of nonlinear analysis

Author keywords

Duality mapping; Ishikawa iterative sequence; Mann iterative sequence; Strongly accretive mapping; Strongly pseudo contractive mapping

Indexed keywords


EID: 0000584295     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00388-X     Document Type: Article
Times cited : (158)

References (20)
  • 1
    • 84968499556 scopus 로고
    • Positivity of duality mappings
    • ASPLUND E., Positivity of duality mappings, Bull. Amer. Math. Soc. 73, 200-203(1967).
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 200-203
    • Asplund, E.1
  • 2
    • 50749132985 scopus 로고
    • Characteristic inequalities in uniformly convex and uniformly smooth Banach spaces
    • XU Z. B. & ROACH G. F., Characteristic inequalities in uniformly convex and uniformly smooth Banach spaces, J. Math. Anal. Appl. 157, 189-210(1991).
    • (1991) J. Math. Anal. Appl. , vol.157 , pp. 189-210
    • Xu, Z.B.1    Roach, G.F.2
  • 3
    • 0002747662 scopus 로고
    • Nonlinear operations and nonlinear equation of evolution in Banach spaces
    • BROWDER F. E., Nonlinear Operations and Nonlinear Equation of Evolution in Banach Spaces, Proc. Sympos. Pure Math. 18(1976).
    • (1976) Proc. Sympos. Pure Math. , vol.18
    • Browder, F.E.1
  • 4
    • 84968475614 scopus 로고
    • Nonlinear mappings of nonexpansive and accretive type in Banach space
    • BROWDER F. E., Nonlinear mappings of nonexpansive and accretive type in Banach space, Bull. Amer. Math. Soc. 73, 875-882(1967).
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 875-882
    • Browder, F.E.1
  • 5
    • 84972539029 scopus 로고
    • Nonlinear semigroups and evolution equation
    • KATO T., Nonlinear semigroups and evolution equation, J. Math. Soc. Japan 18/19, 508-502(1967).
    • (1967) J. Math. Soc. Japan , vol.18-19 , pp. 508-1502
    • Kato, T.1
  • 7
    • 84966227927 scopus 로고
    • Approximation of fixed points of strongly pseudo-contractive mappings
    • CHIDUME C. E., Approximation of fixed points of strongly pseudo-contractive mappings, Proc. Amer. Math. Soc. 120, 545-551(1994).
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 545-551
    • Chidume, C.E.1
  • 8
    • 0001559244 scopus 로고
    • Iterative solution of nonlinear equations with strongly accretive operations
    • CHIDUME C. E., Iterative solution of nonlinear equations with strongly accretive operations, J. Math. Anal. Appl. 192, 502-518(1995).
    • (1995) J. Math. Anal. Appl. , vol.192 , pp. 502-518
    • Chidume, C.E.1
  • 9
    • 0003117605 scopus 로고
    • Iterative solution to nonlinear equations and strongly accretive operators in Banach spaces
    • TAN K. K. & XU H. K., Iterative solution to nonlinear equations and strongly accretive operators in Banach spaces, J. Math. Anal. Appl. 178, 9-21(1993).
    • (1993) J. Math. Anal. Appl. , vol.178 , pp. 9-21
    • Tan, K.K.1    Xu, H.K.2
  • 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. TMA 2, 85-92(1978).
    • (1978) Nonlinear Anal. TMA , vol.2 , pp. 85-92
    • Reich, S.1
  • 11
    • 84968476637 scopus 로고
    • Fixed points by a new iteration method
    • ISHIKAWA S., Fixed points by a new iteration method, Proc. Amer. Math. Soc. 149, 147-150(1974).
    • (1974) Proc. Amer. Math. Soc. , vol.149 , pp. 147-150
    • Ishikawa, S.1
  • 12
    • 84968499765 scopus 로고
    • Fixed point and iteration of a nonexpansive mapping in a Banach spaces
    • ISHIKAWA S., Fixed point and iteration of a nonexpansive mapping in a Banach spaces, Proc. Amer. Math. Soc. 73, 65-71(1976).
    • (1976) Proc. Amer. Math. Soc. , vol.73 , pp. 65-71
    • Ishikawa, S.1
  • 13
    • 84968518052 scopus 로고
    • Mean value methods in iteration
    • MANN W. R., Mean value methods in iteration, Proc. Amer. Math. Soc. 4,506-510(1953).
    • (1953) Proc. Amer. Math. Soc. , vol.4 , pp. 506-510
    • Mann, W.R.1
  • 14
    • 0000190353 scopus 로고
    • On Chidume's open questions
    • DENG L., On Chidume's open questions, J. Math. Anal. Appl. 174, 441-449(1993).
    • (1993) J. Math. Anal. Appl. , vol.174 , pp. 441-449
    • Deng, L.1
  • 15
    • 0000528115 scopus 로고
    • An iterative process for nonlinear Lipschitzian and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces
    • DENG L., An iterative process for nonlinear Lipschitzian and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces, Acta Appl. Math. 32, 183-196(1993).
    • (1993) Acta Appl. Math. , vol.32 , pp. 183-196
    • Deng, L.1
  • 16
    • 0000824218 scopus 로고
    • Iterative approximation of Lipschitz strictly pseudo-contractive mappings in uniformly smooth Banach spaces
    • DENG L. & DING X. P., Iterative approximation of Lipschitz strictly pseudo-contractive mappings in uniformly smooth Banach spaces, Nonlinear Anal. TMA 24, 981-987(1995).
    • (1995) Nonlinear Anal. TMA , vol.24 , pp. 981-987
    • Deng, L.1    Ding, X.P.2
  • 17
    • 0001767278 scopus 로고
    • Pseudo-contrative mappings and Leray-Schauder boundary condition
    • MORALES C., Pseudo-contrative mappings and Leray-Schauder boundary condition, Comment. Math. Univ. Carolina 20, 745-746(1979).
    • (1979) Comment. Math. Univ. Carolina , vol.20 , pp. 745-746
    • Morales, C.1
  • 18
    • 0001578522 scopus 로고
    • Comments on two fixed point iteration methods
    • RHOADES B. E., Comments on two fixed point iteration methods, J. Math. Anal. Appl. 56, 741-750(1976).
    • (1976) J. Math. Anal. Appl. , vol.56 , pp. 741-750
    • Rhoades, B.E.1
  • 19
    • 0001198816 scopus 로고
    • A note on the Ishikawa iteration scheme
    • XU H. K., A note on the Ishikawa iteration scheme, J. Math. Anal. Appl. 167, 582-587(1992).
    • (1992) J. Math. Anal. Appl. , vol.167 , pp. 582-587
    • Xu, H.K.1
  • 20
    • 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, 727-731(1991).
    • (1991) Proc. Amer. Math. Soc. , vol.113 , pp. 727-731
    • Weng, X.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.