A new fixed point result and its application to existence theorem for nonconvex Hammerstein type integral inclusions

DOI10.14232/EJQTDE.2012.1.62zbMath1340.47097OpenAlexW1786956793MaRDI QIDQ5502640

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Publication date: 26 August 2015

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2012.1.62

zbMATH Keywords

fixed pointHammerstein type integral inclusionH+-type multi-valued weak contractive mapk-multi-valued weak contractive mapMulti-valued contraction map

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Transformation groups and semigroups (topological aspects) (54H15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Integro-differential operators (47G20)

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\(\mathcal {H}^+\)-multivalued contractions and their application to homotopy theory ⋮ On some fixed point results for \(H^+\)-type contraction mappings in metric spaces ⋮ Fixed point, data dependence and well-posed problems on \(\mathcal {H}^+\)-metric spaces and their application to homotopy theory ⋮ Fixed points for multivalued contractions with respect to a Pompeiu type metric

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