Existence and uniqueness of fixed points of an integral operator of Hammerstein type

DOI10.1134/S0040577921090051zbMath1490.45014OpenAlexW3203006382MaRDI QIDQ2056814

Farhod Halimjonovich Haydarov

Publication date: 8 December 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921090051

zbMATH Keywords

existenceconeuniquenessnormal conepositive fixed pointHammerstein integral operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Integral operators (45P05)

Cites Work

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• Uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree
• A positive fixed point theorem with applications to systems of Hammerstein integral equations
• Permanence of two species and fixed point index
• Existence of solutions to nonlinear Hammerstein integral equations and applications
• Integration theory for Hammerstein operators
• Four competing interactions for models with an uncountable set of spin values on a Cayley tree
• An iterative solution to a system of nonlinear Hammerstein type equations and a system of generalized mixed equilibrium problems
• Fixed points of Lyapunov integral operators and Gibbs measures
• On the number of solutions of nonlinear equations in ordered Banach spaces
• Gibbs Measures on Cayley Trees