Fixed point theorems for multivalued mappings in ordered Banach spaces with application to integral inclusions

DOI10.1186/S13663-016-0555-YzbMath1342.47073OpenAlexW2411803072WikidataQ59463861 ScholiaQ59463861MaRDI QIDQ737213

Mohamed-Aziz Taoudi, Nawab Hussain

Publication date: 9 August 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-016-0555-y

zbMATH Keywords

fixed point theoremsintegral inclusionsmeasure of weak noncompactnessordered Banach space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Variational and other types of inclusions (47J22)

Related Items (4)

Common fixed point theorems for a finite family of multivalued mappings in an ordered Banach space ⋮ Existence and uniqueness of fixed points for monotone operators in partially ordered Banach spaces and applications ⋮ Toward a generalized contractive condition in partial metric spaces with the existence results of fixed points and best proximity points ⋮ Random fixed point theorems and applications to random first-order vector-valued differential equations

Cites Work

• Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
• On measures of weak noncompactness
• Operator equations in Banach spaces relative to the weak topology
• Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces
• Fixed points for \(\psi\)-graphic contractions with application to integral equations
• A fixed point theorem for multi-valued mappings and its applications to integral inclusions
• Solving nonlinear ϕ -strongly accretive operator equations by a one-step-two-mappings iterative scheme
• Convergence of iterative schemes for solving fixed point problems for multi-valued nonself mappings and equilibrium problems
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