Iterative algorithms for common elements in fixed point sets and zero point sets with applications

DOI10.1186/1687-1812-2012-21zbMath1475.47084OpenAlexW2098076672WikidataQ59290901 ScholiaQ59290901MaRDI QIDQ367404

Ming-Liang Zhang

Publication date: 16 September 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-21

zbMATH Keywords

weak convergencevariational inequalitynonexpansive mappingequilibrium probleminverse-strongly monotone mappingstrictly pseudocontractive mapping

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings ⋮ Monotone variational inequalities, generalized equilibrium problems and fixed point methods ⋮ On strong convergence of an iterative algorithm for common fixed point and generalized equilibrium problems ⋮ Iterative algorithms for a system of generalized variational inequalities in Hilbert spaces ⋮ Projection methods of iterative solutions in Hilbert spaces ⋮ On solutions of inclusion problems and fixed point problems ⋮ On generalized asymptotically quasi-\(\phi\)-nonexpansive mappings and a Ky Fan inequality ⋮ Convergence theorem for split feasibility problem, equilibrium problem and zeroes of sum of monotone operators ⋮ A strong convergence theorem of common elements in Hilbert spaces ⋮ A composite iterative algorithm for accretive and nonexpansive operators ⋮ Hybrid methods for common solutions in Hilbert spaces with applications ⋮ On generalized equilibrium problems and strictly pseudocontractive mappings in Hilbert spaces ⋮ Strong convergence of a splitting algorithm for treating monotone operators ⋮ An algorithm for treating asymptotically strict pseudocontractions and monotone operators

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