A new algorithm for variational inequality problems with a generalized phi-strongly monotone map over the set of common fixed points of a finite family of quasi-phi-nonexpansive maps, with applications

DOI10.1007/s11784-018-0502-0zbMath1388.49006OpenAlexW2793089750MaRDI QIDQ1742546

U. V. Nnyaba, O. M. Romanus, Charles E. Chidume

Publication date: 11 April 2018

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

Full work available at URL: https://doi.org/10.1007/s11784-018-0502-0

zbMATH Keywords

strong convergencevariational inequality problem\(J\)-nonexpansive mapsgeneralized \(\Phi \)-strongly monotone mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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A strong convergence theorem for generalized-\( \varPhi \)-strongly monotone maps, with applications ⋮ A projected subgradient-proximal method for split equality equilibrium problems of pseudomonotone bifunctions in Banach spaces

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