Best proximity point results of operator type condensing mappings via measure of noncompactness and application to an infinite system of differential equations in $c_0$ and $\ell_1$
Year: 2026
Type: preprint
Abstract: We propose a new class of cyclic (noncyclic) operator type condensing mappings and establish conditions that guarantee the existence of best proximity points (pairs) using measure of noncompactness. The results obtained are further applied to investigate the optimum solution of an infinite system of differential equations in $c_0$ and $\ell_1$.
Source: arXiv (Cornell University)
Authors: Kumar, Parveen, Kumar, Ankit
Institution: Punjab Engineering College
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221515269