Fixed point theory for nonlinear mappings in Banach spaces and applications

DOI10.1186/1687-1812-2014-108zbMath1345.47024OpenAlexW2146954515WikidataQ59322368 ScholiaQ59322368MaRDI QIDQ286877

Atid Kangtunyakarn

Publication date: 26 May 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-108

zbMATH Keywords

nonexpansive mappinguniformly convexvariational inequality problems2-uniformly smoothinverse-strongly monotonestrictly pseudo-contractive mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Modified Halpern's iteration for fixed point theory of a finite family of \(G\)-nonexpansive mappings endowed with graph

Cites Work

• The subgradient extragradient method for solving variational inequalities in Hilbert space
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• Asymptotic behavior of contractions in Banach spaces
• Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems
• Convergence theorems on an iterative method for variational inequality problems and fixed point problems
• Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
• Inequalities in Banach spaces with applications
• Unnamed Item

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