Some results on fixed points on the product of <em>b</em>-metric spaces with applications



	Some results on fixed points on the product of b-metric spaces with applications


	Fixed Point Theory, Volume 26, No. 1, 2025, 225-234, February 1st, 2025 DOI: 10.24193/fpt-ro.2025.1.14 Authors: Zoran D. Mitrović, Reny George and Hasan Hosseinzadeh Abstract: In this paper, we prove an existence smd uniqueness theorem for a solution of a system of nonlinear equations in the product of $-metric spaces. We obtain generalization of the classical results of Banach, Kannan and Reich in the product of b-metric spaces. Also, some variants of the results of Czerwik, Bhaskar and Lakshmikantham are obtained. Finally, we give an application in support of our result. Key Words and Phrases: System of nonlinear equations, fixed points, b-metric space, contraction. 2010 Mathematics Subject Classification: 39B72, 47H10. Published on-line: February 1st, 2025. Fulltext pdf Back to volume's table of contents