Fixed Point Theorems for Pemetaan Nonexpansive, Nonspreading, and Hybrid Mappings in Hilbert Space.
DOI:
https://doi.org/10.31332/ijtk.v2i2.19Keywords:
Fixed Point Theorems, Nonexpansive, Hybrid, Hilbert SpaceAbstract
A Firmly nonexpansive mapping is a map which is closely related to equilibrium problems Nonexpansive, nonspreading, and hybrid mappings are nonlinear mappings in Hilbert spaces. In this paper, we show the existence of a fixed point of nonexpansive, nonspreading, and hybrid mappings in Hilbert space using The Banach limit.
References
Agarwal, R. P., Meehan, M. dan O'regan, D., 2004, Fixed Point Theory and Application, Cambridge University Press, Cambridge.
Browder, F. E., 1965, Nonexpansive Nonlinear Operators in a Banach Space, Proc. Nat. Acad. Sci. USA, 54, 1041-1044.
Conway, J. B., 1990, A Course in Functional Analysis, Springer-Verlag, New York.
Kocourek, P., Takahashi, W., dan Yao, Jen-Chih, 2010, Fixed Point Theorems and Weak Convergence Theorems for Generalized Hybrid Mapping in Hilbert Spaces, Taiwanese Journal of Mathematics, 14, 2497-2511, Taiwan.
Kohsaka, F. dan Takahashi, W., 2008, Fixed Point Theorems for A Class of nonlinear Mappings Related to Maximal monotone Operator in Banach Spaces, Arch.Math., 91, pp. 166-177, Bessel.
Takahashi, W., 2010, Fixed Point for New Nonlinear Mappings in a Hilbert Space, J. Nonlinear Convex Anal., 11, 78-88, Japan.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
