Halpern’s iteration for nonexpansive mappings

Genaro López-Acedo, Victoria Martín-Márquez, Hong–Kun Xu

Type: Other

Publication Date: 2010-01-01

Citations: 25

DOI: https://doi.org/10.1090/conm/513/10085

View Publication

Locations

Contemporary mathematics - American Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	Halpern iteration for firmly type nonexpansive mappings	2009	Yisheng Song Xinkuan Chai
+	A Note on Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings	2010	Shuang Wang
+	A modified Halpern-type iteration for Bregman relatively nonexpansive mappings	2013	Prasit Cholamjiak
+	Iteration processes for nonexpansive mappings	1983	Kazimierz Goebel W. A. Kirk
+	Iterative Algorithms for Nonexpansive Mappings	2008	Yonghong Yao Liou Yeong-Cheng
+	Halpern’s iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces	2012	Suthep Suantai Yeol Je Cho Prasit Cholamjiak
+	Nonexpansive mappings	2025	Watcharaporn Cholamjiak
+	A note on Mann iteration for quasi-nonexpansive mappings	1981	Kaushik Das S. P. Singh Bruce A. Watson
+	Halpern’s iteration in Banach spaces	2010	Satit Saejung
+	Hybrid Mann–Halpern iteration methods for nonexpansive mappings and semigroups	2011	Nguyễn Bường Nguyễn Đức Lạng
+	Modified Halpern Iteration of Asymptotically Non-Expansive Mappings	2011	Yisheng Song Chao Tian
+	Mann’s algorithm for nonexpansive mappings in CAT() spaces	2011	Juntao He Fang Duo Genaro López-Acedo C. Li
+	Iterative Method for Fixed Points of Nonexpansive Mappings	2008
+	Iterative Methods for Nonexpansive Type Mappings	2016	Abdul Rahim Khan Hafiz Fukhar-ud-din
+	Convergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappings	2007	C.O. Chidume Geraldo de Souza
+	Nonexpansive mappings: introduction	1990	W. A. Kirk
+	New iteration algorithms for an asymptotically nonexpansive mapping	2009	Xinkuan Chai Yisheng Song
+	A strong convergence theorem for an iteration of nonexpansive mappings	1997	Tomoo Shimizu
+	Generalized Halpern's Iteration of Pseudo-contractive Mappings	2010	Hu L Liu L J Wang
+	A modified halpern-type iteration algorithm for totally quasi-ϕ-asymptotically nonexpansive mappings with applications	2011	S.S. Chang Joseph H. W. Lee Chi Kin Chan W. B. Zhang

Works That Cite This (24)

Action	Title	Year	Authors
+ PDF Chat	Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators	2018	Vasile Berinde
+ PDF Chat	The implicit midpoint rule for nonexpansive mappings	2014	Maryam A Alghamdi Mohammad Ali Alghamdi Naseer Shahzad Hong–Kun Xu
+ PDF Chat	Universal bounds for fixed point iterations via optimal transport metrics	2022	Mario Bravo Thierry Champion Roberto Cominetti
+ PDF Chat	On Fixed Point Convergence Results for a General Class of Nonlinear Mappings with a Supportive Application	2023	Fayyaz Ahmad Kifayat Ullah Junaid Ahmad OM Kalthum S. K. Mohamed Awad A. Bakery
+	Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications	2011	Yonghong Yao Hong–Kun Xu
+	Convergence analysis of the Halpern iteration with adaptive anchoring parameters	2023	Songnian He Hong–Kun Xu Qiao‐Li Dong Na Mei
+	Convergence analysis of a Halpern type algorithm for accretive operators	2012	Youli Yu
+ PDF Chat	Krasnoselskii–Mann Viscosity Approximation Method for Nonexpansive Mappings	2020	Najla Altwaijry Tahani Aldhaban Souhail Chebbi Hong–Kun Xu
+ PDF Chat	Forward-Backward Splitting Methods for Accretive Operators in Banach Spaces	2012	Genaro López-Acedo Victoria Martín-Márquez Fenghui Wang Hong–Kun Xu
+	Numerical algorithms for solutions of nonlinear problems in some distance spaces	2023	Junaid Ahmad Kifayat Ullah Reny George

Works Cited by This (0)

Action	Title	Year	Authors