Pairs of fixed points for a class of operators on Hilbert spaces



	Pairs of fixed points for a class of operators on Hilbert spaces


	Fixed Point Theory, Volume 25, No. 2, 2024, 667-676, June 15th, 2024 DOI: 10.24193/fpt-ro.2024.2.14 Authors: Abdelhak Mokhtari, Kamel Saoudi and Dušan D. Repovš Abstract: In this paper, existence of pairs of solutions is obtained for compact potential operators on Hilbert spaces. An application to a second-order boundary value problem is also given as an illustration of our results. Key Words and Phrases: Hilbert space, potential operator, genus, fixed point theorem, boundary value problem. 2010 Mathematics Subject Classification: 35J25, 47G40, 47H10. Published on-line: June 15th, 2024. Fulltext pdf Back to volume's table of contents