Hammerstein integral inclusions in reflexive Banach spaces

DOI10.1090/S0002-9939-99-04906-0zbMath0907.47054MaRDI QIDQ4216282

Nikolaos S. Papageorgiou, Tiziana Cardinali

Publication date: 26 October 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

compact operatorrelaxation theoremLeray-Schauder alternative theoremmeasurable multifunctionelliptic inclusions\(h\)-continuous multifunctionGreen's operator.lsc and usc multifunctionmultivalued Hammerstein integral equationsmultivalued Nemitsky operator

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Set-valued operators (47H04)

Related Items

Fuzzy fixed point theorems and Ulam-Hyers stability of fuzzy set-valued maps ⋮ Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions ⋮ Positive solutions for a system of nonlinear singular Hammerstein integral equations via nonnegative matrices and applications ⋮ On the Sum of Contractive Type of Mappings I: Maps on the Same Class ⋮ Existence of multiple solutions for a wide class of differential inclusions^† ⋮ Iterative algorithms for solutions of Hammerstein integral inclusions ⋮ Multiple solutions of nonlinear Neumann inclusions ⋮ On multivalued hybrid contractions with applications ⋮ Positive solutions for a system of nonlinear Hammerstein integral equations and applications ⋮ Coupled systems of Hammerstein-type integral equations with sign-changing kernels ⋮ Unnamed Item ⋮ Fixed point theorems for set-valued maps and existence principles for integral inclusions ⋮ On coupled systems of Hammerstein integral equations ⋮ Fixed point and surjectivity results for e-quasibounded and (mws)-compact multivalued maps and applications

This page was built for publication: Hammerstein integral inclusions in reflexive Banach spaces