A generalization of Krasnosel'skii fixed point theorem for sums of compact and contractible maps with application

DOI10.2478/s11533-012-0102-yzbMath1345.47026OpenAlexW2071634025MaRDI QIDQ1935664

Bogdan Przeradzki

Publication date: 18 February 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0102-y

zbMATH Keywords

generalized contractioncondensing mapNemytskiĭ operatorKrasnosel'skiĭ's fixed point theoremsums of compact and contractible maps

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (5)

Schauder's fixed-point theorem in approximate controllability problems ⋮ Expansive mappings on bounded sets and their application to rational integral equations ⋮ Family of mappings with an equicontractive-type condition ⋮ Reich-Krasnoselskii-type fixed point results with applications in integral equations ⋮ Solving existence problems via $F$-contractions

Cites Work

• Applying a fixed point theorem of Krasnosel'skii type to the existence of asymptotically stable solutions for a Volterra-Hammerstein integral equation
• Schaefer-Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
• Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: the projective limit approach
• Fixed-point theory for the sum of two operators
• Fixed point index for Krasnosel'skii-type set-valued maps on complete ANRS
• A fixed-point theorem of Krasnoselskii
• Some problems of nonlinear analysis
• Equivalence of some contractivity properties over metrical structures
• Integral equations, implicit functions, and fixed points
• Krasnoselskii type fixed point theorems and applications
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