Convergence of generic infinite products of nonexpansive and uniformly continuous operators

Nonlinear Analysis, Theory, Methods and Applications

Volumn 36, Issue 8, 1999, Pages 1049-1065

  Reich, Simeon ^a   Zaslavski, Alexander J ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; MATHEMATICAL OPERATORS; NUMBER THEORY; SET THEORY; THEOREM PROVING; TOPOLOGY;

FIXED POINT SET; GENERIC INFINITE PRODUCTS; GENERIC PROPERTY; NONEXPENSIVE OPERATOR; UNIFORM SPACE;

CONVERGENCE OF NUMERICAL METHODS;

EID: 0033148224     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00080-7     Document Type: Article

References (13)

1. H.H. Bauschke, J.M. Borwein, On projection algorithms for solving convex feasibility problems, SIAM Rev. 38 (1996) 367-426.
2. H.H. Bauschke, J.M. Borwein, A.S. Lewis, The method of cyclic projections for closed convex sets in Hilbert space, Recent developments in optimization theory and nonlinear analysis, Contemporary Mathematics, vol. 204, 1997, 1-38.
3. Y. Censor, S. Reich, Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization, Optimization 37 (1996) 323-339.
4. J.E. Cohen, Ergodic theorems in demography, Bull. Amer. Math. Soc. 1 (1979) 275-295.
5. F.S. De Blasi, J. Myjak, Sur la convergence des approximations successives pour les contractions non lineaires dans un espace de Banach, C.R. Acad. Sci. Paris 283 (1976) 185-187.
6. F.S. De Blasi, J. Myjak, Generic flows generated by continuous vector fields in Banach spaces, Adv. Math. 50 (1983) 266-280.
7. J. Dye, S. Reich, Random products of nonexpansive mappings, optimization and nonlinear analysis, Pitman Research Notes in Mathematics Series, vol. 244, Longman, Harlew, 1992, pp. 106-118.
8. K. Goebel, S. Reich, Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings, Marcel Dekker, New York, 1984
9. J. Myjak, Orlicz type category theorems for functional and differential equations, Dissertationes Math. (Rozprawy Mat.) 206 (1983) 1-81.
10. S. Reich, The alternating algorithm of von Neumann in the Hilbert ball, Dynamic Systems Appl. 2 (1993) 21-26.
11. S. Reich, I. Shafrir, Nonexpansive iterations in hyperbolic spaces, Nonlinear Anal. Theory, Meth. Appl. 15 (1990) 537-558.
12. A.J. Zaslavski, Optimal programs on infinite horizon, 1 and 2, SIAM J. Control Optim. 33 (1995) 1643-1686.
13. A.J. Zaslavski, Dynamic properties of optimal solutions of variational problems, Nonlinear Anal. Theory, Meth. Appl. 27 (1996) 895-932.