APPROXIMATING ZERO POINTS OF ACCRETIVE OPERATORS IN GENERAL BANACH SPACES

Kazutaka Eshita (Japan) and Wataru Takahashi (Japan)

Received July 30, 2007

References:

[1] S. Kamimura and W. Takahashi, Weak and strong convergence of solutions to accretive operator inclusions and applications, Set-Valued Anal. 8 (2000), 361-374. [2] S. Kamimura and W. Takahashi, Iterative schemes for approximating solutions of accretive operators in Banach spaces, Sci. Math. 3 (2000), 107-115. [3] F. Kohsaka and W. Takahashi, Approximating zero points of accretive operators in strictly convex Banach spaces, Nonlinear Analysis and Convex Analysis, W. Takahashi and T. Tanaka, eds., Yokohama Publishers, Yokohama, 2003, pp. 191-196. [4] I. Miyadera, Nonlinear Semigroups, Kinokuniya-Shoten, Tokyo, 1977 (in Japanese). [5] R. T. Rockafellar, Monotone operators and the proximal point algorithm, SIAM J. Control Optim. 14 (1976), 877-898. [6] T. Suzuki, Strong convergence theorem to common fixed points of two nonexpansive mappings in general Banach spaces, J. Nonlinear Convex Anal. 3 (2002), 381-391. [7] W. Takahashi, Nonlinear Functional Analysis, Yokohama Publishers, Yokohama, 2000.

Keywords and phrases: accretive operator, Banach space, compact, convergence theorem, resolvent.