Remark on Krasnoselskii's fixed point theorem

DOI10.1016/j.na.2008.10.115zbMath1204.47074OpenAlexW1967990258MaRDI QIDQ1026041

Cristian Vladimirescu

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.115

zbMATH Keywords

fixed pointsintegral equationsKrasnosel'skij's fixed point theorem

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10)

Related Items

Fixed point theorems and the Krein-Šmulian property in locally convex spaces ⋮ Fixed point theorems in locally convex spaces and a nonlinear integral equation of mixed type ⋮ Krasnosel'skii-type fixed point theorems for convex-power condensing mappings in locally convex spaces ⋮ Cone expansion and cone compression fixed point theorems for sum of two operators and their applications ⋮ The existence of asymptotically stable solutions for a nonlinear functional integral equation with values in a general Banach space

Cites Work

• Krasnoselskii's fixed point theorem and stability
• Generalizations of the Krasnoselskii fixed point theorem
• Fixed points and stability for a sum of two operators in locally convex spaces
• A fixed-point theorem of Krasnoselskii
• Some problems of nonlinear analysis
• Integral equations, Volterra equations, and the remarkable resolvent: contractions
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
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