The fixed point theorems of 1-set-contractive operators in Banach space

DOI10.1186/1687-1812-2011-15zbMath1390.47008OpenAlexW2165274353WikidataQ59269651 ScholiaQ59269651MaRDI QIDQ351520

Shuang Wang

Publication date: 5 July 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-15

zbMATH Keywords

convex functionfixed point theoremstopological degreeconcave function1-set-contractive operator

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (2)

A nonlocal three-point inclusion problem of Langevin equation with two different fractional orders ⋮ The Schauder fixed point theorem in geodesic spaces

Cites Work

• New fixed point theorems for 1-set-contractive operators in Banach spaces
• Fixed point theorems of 1-set-contractive operators in Banach spaces
• Degree theory for local condensing maps
• Remarks on condensing and \(k\)-set-contractive mappings
• The Fixed-Point Index and the Fixed-Point Theorems of 1-Set-Contraction Mappings
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• The fixed point index and asymptotic fixed point theorems for $k$-set-contractions

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