Weak convergence of algorithms for asymptotically strict pseudocontractions in the intermediate sense and equilibrium problems

DOI10.1186/1687-1812-2012-132zbMath1475.47070OpenAlexW2120334839WikidataQ59289857 ScholiaQ59289857MaRDI QIDQ383092

Yuan Qing, Jong Kyu Kim

Publication date: 25 November 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-132

zbMATH Keywords

weak convergencefixed pointnonexpansive mappingasymptotically nonexpansive mappingequilibrium problemreal Hilbert spaceasymptotically strict pseudocontraction in the intermediate sense

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

On the strong convergence of an iterative process for asymptotically strict pseudocontractions and equilibrium problems ⋮ Iterative algorithms for a system of generalized variational inequalities in Hilbert spaces ⋮ A strong convergence theorem for solutions of equilibrium problems and asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense ⋮ A strong convergence theorem of common elements in Hilbert spaces ⋮ Iterative algorithms with errors for zero points of \(m\)-accretive operators ⋮ Weak convergence theorems of a hybrid algorithm in Hilbert spaces

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