A new mapping for finding a common element of the sets of fixed points of two finite families of nonexpansive and strictly pseudo-contractive mappings and two sets of variational inequalities in uniformly convex and 2-smooth Banach spaces

DOI10.1186/1687-1812-2013-157zbMath1317.47064OpenAlexW2132605654WikidataQ59300184 ScholiaQ59300184MaRDI QIDQ2252782

Atid Kangtunyakarn

Publication date: 23 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-157

zbMATH Keywords

strong convergencenonexpansive mappingvariational inequality problemstrictly pseudo-contractive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Variational and other types of inclusions (47J22)

Related Items

Fixed point theory for nonlinear mappings in Banach spaces and applications ⋮ The modification of system of variational inequalities for fixed point theory in Banach spaces ⋮ Strong convergence theorem for a common fixed point of a finite family of strictly pseudo-contractive mappings and a strictly pseudononspreading mapping ⋮ Strong convergence theorem for total quasi-\(\phi\)-asymptotically nonexpansive mappings in a Banach space ⋮ A Method for Solving the Variational Inequality Problem and Fixed Point Problems in Banach Spaces

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