Iterative algorithms for quasi-variational inclusions and fixed point problems of pseudocontractions

DOI10.1186/1687-1812-2014-82zbMath1325.49017OpenAlexW2134865478WikidataQ59323899 ScholiaQ59323899MaRDI QIDQ2264186

Ravi P. Agarwal, Yonghong Yao, Yeong-Cheng Liou

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-82

zbMATH Keywords

iterative algorithmmaximal monotone operatorfixed-point problemfirmly nonexpansive mappingspseudocontractionsquasi-variational inclusions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15) Variational and other types of inclusions (47J22)

Related Items

Variational inequality problems over split fixed point sets of strict pseudo-nonspreading mappings and quasi-nonexpansive mappings with applications ⋮ Weak convergence of a Mann-like algorithm for nonexpansive and accretive operators ⋮ Strong convergence theorems for fixed point problems, variational inequality problems, and equilibrium problems ⋮ A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds

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