Proximal Point Algorithms Involving Cesàro Type Mean of Asymptotically Nonexpansive Mappings in CAT(0) Spaces

DOI10.22436/jnsa.009.06.73zbMath1350.47042OpenAlexW2793084192MaRDI QIDQ3187103

Ching-Feng Wen, Jen-Chih Yao, Shi Sheng Zhang

Publication date: 15 August 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss6_4317--4328_Proximal_Point_Algorithms_Involving.pdf

zbMATH Keywords

asymptotically nonexpansive mappingCAT(0) spaceresolvent identityproximal point algorithmconvex minimization problem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)

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A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces ⋮ Proximal point algorithms involving Cesàro type mean of total asymptotically nonexpansive mappings in CAT(0) spaces ⋮ Monotone inclusion problem and fixed point problem of a generalized demimetric mapping in CAT(0) spaces ⋮ Common zero for a finite family of monotone mappings in Hadamard spaces with applications ⋮ Common solution for a finite family of minimization problem and fixed point problem for a pair of demicontractive mappings in Hadamard spaces ⋮ Products of resolvents and multivalued hybrid mappings in \(CAT(0)\) spaces

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