In this paper, we mainly study the integral representations for functions f with values in a universal Clifford algebra C(Vn,n), where f ∈ Λ(f,Ω), Λ(f,Ω) = { f |f ∈ C∞(Ω, C(Vn,n)),max x∈Ω ∣∣Djf(x)∣∣ = = O(M )(j → +∞), for someM, 0 < M < +∞} . The integral representations of Tif are also given. Some properties of Tif and Πf are shown. As applications of the higher order Pompeiu formula, we get t...

‎recently‎, ‎hussain et al.‎, ‎discussed the concept of $wt$-distance on a‎ ‎metric type space‎. ‎in this paper‎, ‎we prove some fixed‎ ‎point theorems for classes of contractive type multi-valued operators‎, ‎by using $wt$-distances in the setting of a complete metric type space‎. ‎these results generalize a result of feng and liu on multi-valued operators.

Many optimization problems can be reformulated as best approximation problems with respect to an appropriate norm. Their solutions are thus given by projection operators. It follows that projection operators play a key role in several areas, such as mechanics, minimization algorithms, variational inequalities, complementary problems. Thus, it is of interest to study the properties of such opera...