Fixed point theorems for nonlinear non-self mappings in Hilbert spaces and applications

DOI10.1186/1687-1812-2013-116zbMath1423.47032OpenAlexW2120522553WikidataQ59302905 ScholiaQ59302905MaRDI QIDQ2249103

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

Publication date: 8 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-116

zbMATH Keywords

fixed pointnonexpansive mappingHilbert spacenonspreading mappinghybrid mappingnon-self mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Viscosity approximation methods for nonexpansive nonself-mappings without boundary conditions ⋮ An existence result for functional integral equations via Petryshyn's fixed point theorem ⋮ STRONG CONVERGENCE TO COMMON FIXED POINTS USING ISHIKAWA AND HYBRID METHODS FOR MEAN-DEMICLOSED MAPPINGS IN HILBERT SPACES ⋮ Choice of the parameters in a primal-dual algorithm for Bregman iterated variational regularization

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
• 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 common fixed point theory of singlevalued mappings and multivalued mappings
• Construction of fixed points of nonlinear mappings in Hilbert space
• Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
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