Two abstract approaches in vectorial fixed point theory

DOI10.2989/16073606.2017.1376002zbMath1496.47083OpenAlexW2755259665MaRDI QIDQ4639235

Radu Precup, Paola Rubbioni, Tiziana Cardinali

Publication date: 3 May 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1376002

zbMATH Keywords

fixed pointmeasure of noncompactnesspositive matrixvector-valued operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (1)

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• A unified existence theory for evolution equations and systems under nonlocal conditions
• Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness
• The role of matrices that are convergent to zero in the study of semilinear operator systems
• Existence results for systems with coupled nonlocal initial conditions
• Vectorial approach to coupled nonlinear Schrödinger systems under nonlocal Cauchy conditions
• Mönch sets and fixed point theorems for multimaps in locally convex topological vector spaces
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Fixed point theory of Mönch type for weakly sequentially upper semicontinuous maps

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