Strong convergence of Mann's-type iterations for nonexpansive semigroups in general Banach spaces

Sachiko Atsushiba, Wataru Takahashi

Type: Article

Publication Date: 2005-03-11

Citations: 12

DOI: https://doi.org/10.1016/j.na.2004.07.055

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Nonlinear Analysis - View

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Works That Cite This (11)

Action	Title	Year	Authors
+	A COMPOSITE EXPLICIT ITERATIVE PROCESS WITH A VISCOSITY METHOD FOR LIPSCHITZIAN SEMIGROUP IN A SMOOTH BANACH SPACE	2011	Phayap Katchang Poom Kumam
+	Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces	2008	Haiyun Zhou
+	APPROXIMATING ZERO POINTS OF ACCRETIVE OPERATORS BY AN IMPLICIT ITERATIVE SEQUENCES IN BANACH SPACES	2007	Sachiko Atsushiba
+ PDF Chat	The generalized viscosity implicit rule of nonexpansive semigroup in Banach spaces	2018	Chaichana Jaiboon Somyot Plubtieng Phayap Katchang
+ PDF Chat	WEAK AND STRONG CONVERGENCE OF MANN'S-TYPE ITERATIONS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS	2008	Yisheng Song Rudong Chen
+	WEAK AND STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN A BANACH SPACE SATISFYING OPIAL'S CONDITION	2007	Sachiko Atsushiba Wataru Takahashi
+ PDF Chat	Viscosity approximation to a common solution of variational inequality problems and fixed point problems for Lipschitzian semigroup in Banach spaces	2013	Poom Kumam Somyot Plubtieng Phayap Katchang
+	Convergence of an Implicit Iteration for Affine Mappings in Normed and Banach Spaces	2011	Shahram Saeidi
+	Some remarks on the set of common fixed points of one-parameter semigroups of nonexpansive mappings in Banach spaces with the Opial property	2004	Tomonari Suzuki
+	Strong convergence theorems for a family non-expansive mappings and application to generalized mixed equilibrium problems systems	2010	Zi‐Ming Wang Xiaolong Qin Zhentao Gu Yongfu Su

Works Cited by This (13)

Action	Title	Year	Authors
+	Fixed point theorems and nonlinear ergodic theorems for nonlinear semigroups and their applications	1997	Wataru Takahashi
+ PDF Chat	Approximating common fixed points of two nonexpansive mappings in Banach spaces	1998	Sachiko Atsushiba Wataru Takahashi
+ PDF Chat	NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE	1965	Felix E. Browder
+	Weak convergence theorems for nonexpansive mappings in Banach spaces	1979	Simeon Reich
+	Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces	1988	Norimichi Hirano Kazuo Kido Wataru Takahashi
+	An ergodic theorem for semigroups of nonexpansive mappings in a Hilbert space	1982	Gerd Rodé
+	Strong Convergence to Common Fixed Points of Families of Nonexpansive Mappings	1997	Tomoo Shimizu Wataru Takahashi
+	Means on commutative semigroups and nonlinear ergodic theorems	1985	Kazuo Kido Wataru Takahashi
+	Mean ergodic theorems for semigroups of linear operators	1984	Kazuo Kido Wataru Takahashi
+ PDF Chat	Mean value methods in iteration	1953	W. Robert Mann