摘要This paper presents some fixed point theorems for expansion selfmaps on complete cone metric spaces.This paper presents some fixed point theorems for expansion selfmaps on complete cone metric spaces.
1Browder, F. E.: Nonlinear Operators and Nonlinear Equations of Evolution in Banach Spaces. In: Proc. Sympos. Math. Amer. Math. Soc. Providence RI, 1976, p. 18.
2Bruck, R. E.: A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces. Israel J. Math., 32, 107-116 (1979).
3Chang, S. S., Cho, Y. J., Zhou, H. Y.: Iterative Methods for Nonlinear Operator Equations in Banach Spaces, Nova Science Publishers, New York, 2002.
4Chen, R. D., Song ,Y. S., Zhai, H. Y.: Convergence theorems for implicit iteration press for a finite family of continuous pseudocontractive mappings. J. Math. Anal. Appl., 314, 701-709 (2006).
6Kim, T. H., Xu, H. K.: Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups. Nonlinear Anal. Appl., 64, 1140-1152 (2006).
7Osilike, M. O.: Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps. J. Math. Anal. Appl., 294, 73-81 (2004).
8Xu, H. K., Ori, R. G.: An implicit iteration process for nonexpansive mappings. Numer. Func. Anal. Optim., 22, 767-773 (2001).
9Xu, H. K.: Strong asymptotic behavior of almost-robits of nonlinear semigroups. Nonlinear Anal., 46, 135-151 (2001).
10Zhou, H. Y.: Convergence theorems of common fixed points for a finite family of Lipschitzian pseudocon- tractions in Banach spaces. Nonlinear Anal., 68, 2977-2983 (2008).