IMPLICIT ITERATION PROCESS FOR COMMON FIXED POINTS OF AN INFINITE FAMILY OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN BANACH SPACES
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초록
Some convergence theorems for approximating to a common fixed point of an infinite family of strictly pseudocontractive mappings of Browder-Petryshyn type are proved in the setting of Banach spaces by using a new composite implicit iterative process with errors. The results presented in the paper generalize and improve the main results of Bai and Kim [1], Gu [4], Osilike [5], Su and Li [7], and Xu and Ori [8].
Abstract
Some convergence theorems for approximating to a common fixed point of an infinite family of strictly pseudocontractive mappings of Browder-Petryshyn type are proved in the setting of Banach spaces by using a new composite implicit iterative process with errors. The results presented in the paper generalize and improve the main results of Bai and Kim [1], Gu [4], Osilike [5], Su and Li [7], and Xu and Ori [8].
참고문헌 (8)
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- S. S. Chang, "Some problems and results in the study of nonlinear analysis", Nonlinear Anal., 30(7), pp.4197~4208 (1997)
- F. Gu, "The new composite implicit iterative process with errors for common fixed points of a finite family of strictly pseudocontractive mappings", J. Math. Anal. Appl., 329(2), pp.766~776 (2007)
- M. O. Osilike, "Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps", J. Math. Anal. Appl., 294(1), pp.73~81 (2004)
- M. O. Osilike, "Fixed points of asymptotically demicontractive mappings in arbitrary Banach spaces", Panamer. Math. J., 12(2), pp.77~88 (2002)
- Y. F. Su, "Composite implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps", J. Math. Anal. Appl., 320(2), pp.882~891 (2006)
- H. K. Xu, "An implicit iteration process for nonexpansive mappings", Numer. Funct. Anal. Optim., 22(5), pp.767~773 (2001)