A relaxed hybrid shrinking iteration approach to solving generalized mixed equilibrium problems for totally quasi-\(\phi\)-asymptotically nonexpansive mappings

DOI10.1186/1687-1812-2014-63zbMath1332.47042OpenAlexW2157845261WikidataQ59324041 ScholiaQ59324041MaRDI QIDQ2017362

Wei-Qi Deng

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-63

zbMATH Keywords

strong convergenceBanach spacegeneralized mixed equilibrium problemsgeneralized projectionstotally quasi-\(\phi\)-asymptotically nonexpansive mappingsrelaxed hybrid shrinking algorithm

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Relaxed iterative algorithms for a system of generalized mixed equilibrium problems and a countable family of totally quasi-\(\phi\)-asymptotically nonexpansive multi-valued maps, with applications ⋮ Some iterative algorithms for approximating solutions of nonlinear operator equations in Banach spaces ⋮ Algorithms for a system of generalized mixed equilibrium problems and a countable family of some nonlinear multi-valued nonexpansive-type maps

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