Attractive points and Halpern-type strong convergence theorems in Hilbert spaces

DOI10.1007/s11784-013-0142-3zbMath1323.47078OpenAlexW2073515979MaRDI QIDQ499949

Ngai-Ching Wong, Jen-Chih Yao, Takahashi, Wataru

Publication date: 7 October 2015

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-013-0142-3

zbMATH Keywords

fixed pointnonexpansive mappinggeneralized hybrid mappingHalpern-type iterationattractive point

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (6)

Common strongly attractive points of nonexpansive set-valued mappings and applications ⋮ Unnamed Item ⋮ Modified Halpern's iteration for fixed point theory of a finite family of \(G\)-nonexpansive mappings endowed with graph ⋮ Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings ⋮ Iterative approximations of attractive point of a new generalized Bregman nonspreading mapping in Banach spaces ⋮ Attractive points of further 2-generalized hybrid mappings in a complete CAT(0) space

Cites Work

• Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• Approximation of fixed points of nonexpansive mappings
• Strong convergence theorem for nonexpansive mappings on star-shaped sets in Hilbert spaces
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
• Another control condition in an iterative method for nonexpansive mappings
• Fixed points of nonexpanding maps
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Attractive points and Halpern-type strong convergence theorems in Hilbert spaces