Existence and approximation of attractive points of the widely more generalized hybrid mappings in Hilbert spaces

DOI10.1155/2013/904164zbMath1437.47028OpenAlexW2113270368WikidataQ58917699 ScholiaQ58917699MaRDI QIDQ2319243

Yanyan Li

Publication date: 16 August 2019

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

Full work available at URL: https://doi.org/10.1155/2013/904164

zbMATH Keywords

strong convergenceweak convergenceHilbert spaceattractive pointsgeneralized hybrid mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear ergodic theorems (47H25)

Related Items

Iterative approximation of common attractive points of further generalized hybrid mappings, Unnamed Item, Common strongly attractive points of nonexpansive set-valued mappings and applications, Unnamed Item

Cites Work

• Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space
• Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces
• Strong convergence of an iterative scheme by a new type of projection method for a family of quasinonexpansive mappings
• Fixed point theorems and ergodic theorems for nonlinear 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
• The fixed point property and unbounded sets in Banach spaces
• The common fixed point theory of singlevalued mappings and multivalued mappings
• Strong convergence to common fixed points of families of nonexpansive mappings
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Attractive point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Weak convergence theorem for new nonexpansive mappings in Banach spaces and its applications
• Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
• The Fixed Point Property and Unbounded Sets in Hilbert Space
• A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
• Strong convergence theorem for asymptotically nonexpansive mappings
• Mean Value Methods in Iteration
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