Malaysian Journal of Mathematical Sciences, September 2026, Vol. 20, No. 3
Existence of a solution via $\mathcal{Z}-$ Górnicki mapping for the static deflection of a string stretched between fixed end points
Selvapriya, P. and Dhivya, P.
Corresponding Email: dhivyapari.10@gmail.com
Received date: 12 June 2025
Accepted date: 22 January 2026
Abstract:
By establishing $\mathcal{Z}-$ Górnicki mapping and proximal $\mathcal{Z}-$ Górnicki mapping via simulation function in metric spaces and partial metric spaces, we generalize Górnicki mapping and proximal Górnicki mapping in this work. To illustrate our conclusions, we offer examples to illustrate our conclusions. As an example, a solution to the second-order linear differential equation for the static deflection of a string stretched between fixed endpoints with boundary conditions is also discussed.
Keywords: fixed point, Górnicki mapping, simulation function, best proximity point, proximal Górnicki mapping
