Hybrid algorithms of nonexpansive semigroups for mixed equilibrium problems, variational inequalities, and fixed point problems

DOI10.1186/1029-242X-2014-174zbMath1309.47062WikidataQ59323689 ScholiaQ59323689MaRDI QIDQ2258686

Qiaohong Jiang, Jinghai Wang

Publication date: 26 February 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

strong convergencevariational inequalitiesfixed pointhybrid algorithmsmixed equilibrium problemnonexpansive semigroups

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

STRONG CONVERGENCE ANALYSIS OF A HYBRID ALGORITHM FOR NONLINEAR OPERATORS IN A BANACH SPACE ⋮ Algorithms for a system of generalized mixed equilibrium problems and a countable family of some nonlinear multi-valued nonexpansive-type maps

Cites Work

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• Two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces
• A regularization method for the proximal point algorithm
• On sufficiency of the Kuhn-Tucker conditions
• Strong convergence to common fixed points of families of nonexpansive mappings
• Hybrid algorithms of nonexpansive semigroups for variational inequalities
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
• The Nonlinear Ergodic Theorem for Asymptotically Nonexpansive Mappings in Banach Spaces
• Iterative schemes for solving mixed variational-like inequalities

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