Symmetries of a partial Latin square are primarily determined by its autotopism group. Analogously to the case of Latin squares, given an isotopism Θ, the cardinality of the set PLSΘ of partial Latin squares which are invariant under Θ only depends on the conjugacy class of the latter, or, equivalently, on its cycle structure. In the current paper, the cycle structures of the set of autotopisms...

We study the orientifold of ${\mathcal{N}} = 1$ superconformal field theories describing D3-branes probing Suspended Pinch Point singularity, as well orientifolds non-chiral obtained by a specific orbifold $\mathbb{Z}_n$ SPP. find that these models realize mechanism analogous to one recently found for complex Calabi-Yau cone over Pseudo del Pezzo surface PdP$_{3c}$: they all flow new IR fixed p...

In this paper, we prove coupled coincidence points and common fixed points theorem for two mappings satisfying various contractive conditions in partially ordered metric spaces. Our results will generalize and extend some recent results in fixed point theory.

in this paper, we give a new fixed point theorem forweakly quasi-contraction maps in metric spaces. our results extend and improve some fixed point and theorems in literature.