Existence theorems and iterative approximation methods for generalized mixed equilibrium problems for a countable family of nonexpansive mappings
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Publication:445331
DOI10.1007/s10898-011-9739-5zbMath1252.47074OpenAlexW2136499128MaRDI QIDQ445331
Rabian Wangkeeree, Uthai Kamraksa
Publication date: 24 August 2012
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-011-9739-5
strong convergencefixed pointnonexpansive mappingBanach spacemetric projectionKKM mappinggeneralized mixed equilibrium problem
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems ⋮ New generalized mixed equilibrium problem with respect to relaxed semi-monotone mappings in Banach spaces ⋮ Halpern-type iterative algorithm for an infinite family of relatively quasi-nonexpansive multivalued mappings and equilibrium problem in Banach spaces ⋮ Existence and strong convergence theorems for generalized mixed equilibrium problems of a finite family of asymptotically nonexpansive mappings in Banach spaces ⋮ Weak and strong convergence theorems for strictly pseudononspreading mappings and equilibrium problem in Hilbert spaces ⋮ Equilibrium problems with generalized relaxed monotonicities in Banach spaces
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