The convergence property of Ishikawa iteration schemes in noncompact subsets of Hilbert spaces and its applications to complementarity theory

DOI10.1016/j.camwa.2004.06.018zbMath1078.47049OpenAlexW2024162818MaRDI QIDQ1767890

Li, Jinlu, George Isac

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.06.018

zbMATH Keywords

fixed pointnonexpansive mappingnonlinear complementarity problemsclosed convex setIshikawa iteration schemescompletely continuous mappingvariational inequalities as variational inclusions

Mathematics Subject Classification ID

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) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items

On the existence of solutions of variational inequalities in Banach spaces ⋮ The new modified Ishikawa iteration method for the approximate solution of different types of differential equations ⋮ Random fixed point theorems for Caristi type random operators

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