arXiv subjects

Priyanka Priyadarshini Behera

Publications and source records attributed to Priyanka Priyadarshini Behera.

2 recordsLinked to original sources

arXiv2026

On $ϕ$-Best Proximity Points and Proximal-type Algorithms in Banach Spaces

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.

math.FA↗

arXiv2026

Semi denting points and related notions in Banach spaces

In this work, we study semi denting points and related notions in Banach spaces. We observe that $X$ has the Radon-Nikodým Property if and only if every closed bounded convex set has a semi denting point. We also study the stability properties of semi denting, semi PC, and semi SCS points, as well as their $w^*$-analogues in Banach spaces, with respect to $l_p$-sums ( $1\leq p \leq \infty$), ideals, and projective tensor products.

math.FA↗