Continuation Theory for Contractions on Spaces with Two Vector-Valued Metrics

DOI10.1080/0003681031000063784zbMath1034.54017OpenAlexW2062267069WikidataQ58147664 ScholiaQ58147664MaRDI QIDQ4435617

Radu Precup, Donal O'Regan

Publication date: 17 November 2003

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0003681031000063784

zbMATH Keywords

contractionfixed pointHammerstein integral equationsoperator equation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

Fixed point theorems on spaces endowed with vector-valued metrics ⋮ Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives ⋮ Homotopic metric-interval L-contractions in gauge spaces ⋮ Saturated contraction principles for non self operators, generalizations and applications ⋮ On the continuation method and the nonlinear alternative for Caristi-type non-self-mappings

Cites Work

• Fixed point theory for generalized contractions on spaces with two metrics
• Discrete continuation method for boundary value problems on bounded sets in Banach spaces
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