Pointwise best coapproximation in the space of Bochner integrable functions

Abstract

Let \(X\) be a Banach space, \(G$\) be a closed subset of \(X\), and \((\Omega,\Sigma,\mu )\) be a \(\sigma\)-finite measure space. In this paper we present some results on coproximinality (pointwise coproximinality) of \(L^{p}(\mu,G)\), \(1\leq p\leq \infty\), in \(L^{p}(\mu,X\).