Positive solution for a system of integral equations via Krasnosel'skiĭ-Guo theorem



	Positive solution for a system of integral equations via Krasnosel'skiĭ-Guo theorem


	Fixed Point Theory, Volume 27, No. 2, 2026, 617-628, June 1st, 2026 DOI: 10.24193/fpt-ro.2026.2.09 Authors: Gabriela Szajnowska-Pałys Abstract: The paper deals with the existence of positive solution to the system of nonlinear Hammerstein integral equations. The main tool used in the proof is Krasnosel’skiĭ–Guo fixed point theorem of compression-expansion cones. An application of specific cone enabled to achieve the results. Some examples are provided in order to illustrate the applicability of presented theorems. Key Words and Phrases: Hammerstein integral equations, Guo-Krasnosel’skiĭ theorem in cone, positive solution, Green’s function 2020 Mathematics Subject Classification: 45G15, 47H10, 34B18, 34B27. Published on-line: June 1st, 2026. Fulltext pdf Back to volume's table of contents