Existence Principles for Inclusions of Hammerstein Type Involving Noncompact Acyclic Multivalued Maps

Couchouron, Jean-FrancoisPrecup, Radu2020-07-072020-07-072002-01-03Couchouron, J. F., & Precup, R. (2002). Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps. <i>Electronic Journal of Differential Equations, 2002</i>(04), pp. 1-21.1072-6691https://hdl.handle.net/10877/11982We apply Monch type fixed point theorems for acyclic multivalued maps to the solvability of inclusions of Hammerstein type in Banach spaces. Our approach makes possible to unify and improve the existence theories for nonlinear evolution problems and abstract integral inclusions of Volterra and Fredholm type.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalFixed pointMultivalued mapAcyclic setIntegral inclusionHammerstein equationEvolution equationBoundary value problemExistence Principles for Inclusions of Hammerstein Type Involving Noncompact Acyclic Multivalued MapsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.