Year: 2026
Type: preprint
Abstract: The purpose of this paper is to study the existence and convergence of $ϕ$-best proximity points in Banach spaces. A strong convergence theorem is established by employing a shrinking projection algorithm designed to compute common $ϕ$-best proximity points of a proximally weakly suppressive mapping. Finally, we address a projection scheme to solve split $ϕ$-best proximity point and variational problem in a Banach space. These contributions provide new tools for solving nonlinear problems involving non-self mappings.
Source: arXiv (Cornell University)
Authors: Behera, Priyanka Priyadarshini, Nahak, C.
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204197232
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