Fixed Point Theorems for Pemetaan Nonexpansive, Nonspreading, and Hybrid Mappings in Hilbert Space.

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Firman Riansyah

Abstract

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.

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How to Cite
Riansyah, F. (2021). Fixed Point Theorems for Pemetaan Nonexpansive, Nonspreading, and Hybrid Mappings in Hilbert Space. International Journal of Transdisciplinary Knowledge, 2(2), 15–29. https://doi.org/10.31332/ijtk.v2i2.19
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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.