메뉴 건너뛰기




Volumn 286, Issue 1, 2003, Pages 351-358

Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings

Author keywords

Common fixed point; Finite family of asymptotically quasi nonexpansive mappings; Implicit iteration process; Strong convergence; Uniform convexity

Indexed keywords


EID: 0142119380     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00537-7     Document Type: Article
Times cited : (107)

References (11)
  • 1
    • 84968518796 scopus 로고
    • On the structure of the set of subsequential limit points of successive approximations
    • J.B. Diaz, F.T. Metcalf, On the structure of the set of subsequential limit points of successive approximations, Bull. Amer. Math. Soc. 73 (1967) 516-519.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 516-519
    • Diaz, J.B.1    Metcalf, F.T.2
  • 2
    • 84968518807 scopus 로고
    • A fixed point theorem for asymptotically nonexpansive mappings
    • K. Goebel, W.A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35 (1972) 171-174.
    • (1972) Proc. Amer. Math. Soc. , vol.35 , pp. 171-174
    • Goebel, K.1    Kirk, W.A.2
  • 3
    • 0000445928 scopus 로고
    • Nonexpansive nonlinear operators in Banach spaces
    • F.E. Browder, Nonexpansive nonlinear operators in Banach spaces, Proc. Natl. Acad. Sci. USA 54 (1965) 1041-1044.
    • (1965) Proc. Natl. Acad. Sci. USA , vol.54 , pp. 1041-1044
    • Browder, F.E.1
  • 4
    • 0002728205 scopus 로고
    • Convergence of approximates to fixed points of nonexpansive nonlinear mappings in Banach spaces
    • F.E. Browder, Convergence of approximates to fixed points of nonexpansive nonlinear mappings in Banach spaces, Arch. Rational Mech. Anal. 24 (1967) 82-90.
    • (1967) Arch. Rational Mech. Anal. , vol.24 , pp. 82-90
    • Browder, F.E.1
  • 5
    • 0035402826 scopus 로고    scopus 로고
    • Iterative sequence for asymptotically quasi-nonexpansive mappings
    • Q. Liu, Iterative sequence for asymptotically quasi-nonexpansive mappings, J. Math. Anal. Appl. 256 (2001) 1-7.
    • (2001) J. Math. Anal. Appl. , vol.256 , pp. 1-7
    • Liu, Q.1
  • 6
    • 0001682125 scopus 로고
    • Approximation of fixed points of nonexpansive mappings
    • R. Wittmann, Approximation of fixed points of nonexpansive mappings, Arch. Math. 58 (1992) 486-491.
    • (1992) Arch. Math. , vol.58 , pp. 486-491
    • Wittmann, R.1
  • 7
    • 33745998912 scopus 로고
    • Strong convergence theorems for resolvents of accretive operators in Banach spaces
    • S. Reich, Strong convergence theorems for resolvents of accretive operators in Banach spaces, J. Math. Anal. Appl. 75 (1980) 287-292.
    • (1980) J. Math. Anal. Appl. , vol.75 , pp. 287-292
    • Reich, S.1
  • 8
    • 0032186802 scopus 로고    scopus 로고
    • Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
    • N. Shoji, W. Takahashi, Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces, Nonlinear Anal. 34 (1998) 87-99.
    • (1998) Nonlinear Anal. , vol.34 , pp. 87-99
    • Shoji, N.1    Takahashi, W.2
  • 9
    • 0142046317 scopus 로고    scopus 로고
    • Iterative approximation of fixed points for asymptotically non-expansive type mappings in Banach spaces
    • S.S. Chang, Y.J. Cho, J.K. Kim, K.H. Kim, Iterative approximation of fixed points for asymptotically non-expansive type mappings in Banach spaces, Panamer. Math. J. 11 (2001) 53-63.
    • (2001) Panamer. Math. J. , vol.11 , pp. 53-63
    • Chang, S.S.1    Cho, Y.J.2    Kim, J.K.3    Kim, K.H.4
  • 10
    • 0035416706 scopus 로고    scopus 로고
    • An implicit iteration process for nonexpansive mappings
    • H.K. Xu, R.G. Ori, An implicit iteration process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767-773.
    • (2001) Numer. Funct. Anal. Optim. , vol.22 , pp. 767-773
    • Xu, H.K.1    Ori, R.G.2
  • 11
    • 0007417686 scopus 로고
    • Inequalities in Banach spaces with applications
    • H.K. Xu, Inequalities in Banach spaces with applications, Nonlinear Anal. 16 (1991) 1127-1138.
    • (1991) Nonlinear Anal. , vol.16 , pp. 1127-1138
    • Xu, H.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.