best approximation results provide an approximate solution to the fixed point equation $tx=x$, when the non-self mapping $t$ has no fixed point. in particular, a well-known best approximation theorem, due to fan cite{5}, asserts that if $k$ is a nonempty compact convex subset of a hausdorff locally convex topological vector space $e$ and $t:krightarrow e$ is a continuous mapping, then there exi...

In this paper, we have proposed a novel model called proximal support matrix machine (PSMM), which is mainly based on the models of vector (PSVM) and low rank (LRSMM). design, PSMM has comprehensively considered both relationship between samples same class structure rows or columns data. To certain extent, our can be regarded as synthesis PSVM LRSMM model. Since an unconstrained convex problem ...