A continuation method for weakly contractive mappings under the interior condition

DOI10.1155/2009/809315zbMath1181.54046OpenAlexW2021484915WikidataQ59219949 ScholiaQ59219949MaRDI QIDQ1035129

Antonio Jiménez-Melado, David Ariza-Ruiz

Publication date: 10 November 2009

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

Full work available at URL: https://eudml.org/doc/45704

zbMATH Keywords

fixed pointcontinuation methodinterior conditionweakly contractive maps

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (2)

Coupled common fixed point theorems for mixed weakly monotone mappings in partially ordered metric spaces ⋮ Homotopic metric-interval L-contractions in gauge spaces

Cites Work

• A Mönch type fixed point theorem under the interior condition
• Continuation method for contractive maps
• Fixed point theory for generalized contractions on spaces with two metrics
• Fixed points of condensing functions
• A Comparison of Various Definitions of Contractive Mappings
• Fixed Point Theorems for Various Classes of 1-Set-Contractive and 1-Ball- Contractive Mappings in Banach Space
• A Generalization of a Fixed Point Theorem of Reich
• Fixed point theorems under the interior condition
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