Fixed points of nonexpansive potential operators in Hilbert spaces

DOI10.1186/1687-1812-2012-123zbMath1476.47032OpenAlexW2118964472WikidataQ59289014 ScholiaQ59289014MaRDI QIDQ375410

Biagio Ricceri

Publication date: 30 October 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-123

zbMATH Keywords

fixed pointwell-posednesspotential operatornonexpansive operator

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Variational methods involving nonlinear operators (47J30) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Potential operators (47G40)

Related Items (4)

Fixed point theorems under combined topological and variational conditions ⋮ Existence of solutions for an elliptic boundary value problem via a global minimization theorem on Hilbert spaces ⋮ Existence of the solution to variational inequality, optimization problem, and elliptic boundary value problem through revisited best proximity point results ⋮ Integral Functionals on L^p-Spaces: Infima Over Sublevel Sets

Cites Work

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• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances

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