Strong convergence theorems for a countable family of nonexpansive mappings in convex metric spaces

DOI10.1155/2011/929037zbMath1296.54083OpenAlexW2095416392WikidataQ58654543 ScholiaQ58654543MaRDI QIDQ642739

Withun Phuengrattana, Suthep Suantai

Publication date: 27 October 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/929037

zbMATH Keywords

fixed pointnonexpansive mapping\(W\)-mappingconvex metric spaceAKTT-conditionHalpern type iterative method

Mathematics Subject Classification ID

Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Maps and general types of topological spaces defined by maps (54C99)

Related Items

Fixed point results in convex metric spaces ⋮ On the generalized asymptotically nonspreading mappings in convex metric spaces ⋮ Fixed point iterations for Prešić-Kannan nonexpansive mappings in product convex metric spaces ⋮ Fixed point theorems for \(N\)-generalized hybrid mappings in uniformly convex metric spaces ⋮ Existence and convergence theorems for generalized hybrid mappings in uniformly convex metric spaces

Cites Work

• Strong convergence of modified Halpern iterations in \(\mathrm{CAT}(0)\) spaces
• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• Strong convergence of iteration algorithms for a countable family of nonexpansive mappings
• Fixed points for multivalued mappings in uniformly convex metric spaces
• Halpern's iteration in CAT(0) spaces
• A viscosity approximation scheme for system of equilibrium problems, nonexpansive mappings and monotone mappings
• Approximation of fixed points of nonexpansive mappings
• Fixed points of multivalued mappings in certain convex metric spaces
• Strong convergence of modified Mann iterations
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Reductive groups over a local field
• A convexity in metric space and nonexpansive mappings. I.
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• Fixed points of nonexpanding maps
• Strong convergence to common fixed points of infinite nonexpansive mappings and applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Strong convergence theorems for a countable family of nonexpansive mappings in convex metric spaces