Systems of Hammerstein integral inclusions in Banach spaces with mixed monotone conditions
DOI10.1186/S13660-015-0821-2zbMath1333.45005OpenAlexW1926752593WikidataQ59433939 ScholiaQ59433939MaRDI QIDQ262522
Toktam Dinevari, Marlène Frigon
Publication date: 30 March 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-015-0821-2
monotonicityfixed pointdifferential inclusionmultivalued mapcontraction on graphHammerstein integral inclusionsystem of inclusions
Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Systems of nonlinear integral equations (45G15) Abstract integral equations, integral equations in abstract spaces (45N05)
Cites Work
- Fixed points of discontinuous multivalued operators in ordered spaces with applications
- Heterogeneous and combined concave operators
- Fixed point theorems for set-valued maps and existence principles for integral inclusions
- Fixed point results for multivalued contractions on a metric space with a graph
- Fixed points for mixed monotone multivalued operators in Banach spaces with applications
- Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- Fixed point theorems in partially ordered metric spaces and applications
- Fixed point approaches to the solution of integral inclusions
- Coupled fixed points of nonlinear operators with applications
- A fixed point theorem in partially ordered sets and some applications to matrix equations
- The contraction principle for mappings on a metric space with a graph
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