Approximating curves of nonexpansive nonself-mappings in Banach spaces;Courbes d'approximations d'applications non-expansives dans des espaces de Banach

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 325, Issue 2, 1997, Pages 151-156

  Xu, Hong Kun ^a  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031188235     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)84590-9     Document Type: Article

References (9)

1. [1] Browder F. E., 1967. Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces, Archs. Ration. Mech. Anal., 24, p. 82-90.
2. [2] Combettes P.-L., 1995. Construction d'un point fixe commun à une famille de contractions fermées, C. R. Acad. Sci. Paris, t. 320, Série I, p. 1385-1390.
3. [3] Halpern B., 1967. Fixed poinds of nonexpanding maps, Bull. Amer. Math. Soc., 73, p. 957-961.
4. [4] Goebel K. and Reich S., 1984. Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings, Marcel Dekker, New York and Basel.
5. [5] Lions P.-L., 1977. Approximation de points fixes de contractions. C. R. Acad. Sci. Paris, Ser. A, 284, p. 1357-1359.
6. [6] Reich S., 1980. Strong convergence theorems for resolvents of accretive operators in Banach spaces, J. Math. Anal. Appl., 75, p. 287-292.
7. [7] Singh S. P. and Watson B., 1986. On approximating fixed points, Proc. Symp. Pure Math., 45(2), p. 393-395.
8. [8] Xu H. K., 1991. Inequalities in Banach spaces with applications, Nonlinear Analysis, 16, p. 1127-1138.
9. [9] Xu H. K. and Yin X. M., 1995. Strong convergence theorems for nonexpansive nonself-mappings, Nonlinear Analysis, 24, p. 223-228.