Strong convergence theorem for a finite family of demimetric mappings with variational inequality problems in a Hilbert space

DOI10.1007/s13160-017-0237-0zbMath1368.47087OpenAlexW2583745241MaRDI QIDQ2364351

Takahashi, Wataru

Publication date: 19 July 2017

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-017-0237-0

zbMATH Keywords

strong convergencecommon fixed pointvariational inequality problemmetric projectionHalpern iterationdemimetric mapping

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 (12)

Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems ⋮ Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem ⋮ Shrinking approximants for fixed point problem and generalized split null point problem in Hilbert spaces ⋮ On \(\theta\)-generalized demimetric mappings and monotone operators in Hadamard spaces ⋮ A novel algorithm for approximating common solution of a system of monotone inclusion problems and common fixed point problem ⋮ The split common fixed point problem for generalized demimetric mappings in two Banach spaces ⋮ On the proximal point algorithm and demimetric mappings in \(\mathrm{CAT}(0)\) spaces ⋮ A general iterative method for split common fixed point problem and variational inclusion problem ⋮ Monotone inclusion problem and fixed point problem of a generalized demimetric mapping in CAT(0) spaces ⋮ Weak and Strong Convergence Theorems for New Demimetric Mappings and the Split Common Fixed Point Problem in Banach Spaces ⋮ Unnamed Item ⋮ A new viscosity-type iteration for a finite family of split variational inclusion and fixed point problems between Hilbert and Banach spaces

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