We consider the existence and regularity of weakly polyharmonic almost complex structures on a compact Hermitian manifold $$M^{2m}$$ . Such objects satisfy elliptic system $$[\varDelta ^m J, J]=0$$ weakly. prove general theorem for semilinear systems in critical dimensions (with growth nonlinearities), which includes dimension four six.

In this paper, we introduce and study the concept of double fuzzy upper (lower) almost α-continuous multifunctions weakly multifunctions.

In 2014, Zead Mustafa introduced $b_2$-metric spaces, as a generalization of both $2$-metric and $b$-metric spaces. Then new fixed point results for the classes of  rational Geraghty contractive mappings of type I,II and III in the setup of $b_2$-metric spaces are investigated. Then, we prove some fixed point theorems under various contractive conditions in partially ordered $b_2$-metric spaces...

In this paper we study the conditions under which a fuzzy topological space becomes a fuzzy almost resolvable space and the inter-relations between fuzzy almost resolvable, fuzzy almost irresolvable spaces, fuzzy submaximal spaces, fuzzy first category spaces, fuzzy Baire spaces, fuzzy weakly Volterra spaces are also investigated.

This paper investigates the instance complexities of problems that are hard or weakly hard for exponential time under polynomial time many one reductions It is shown that almost every instance of almost every problem in exponential time has essentially maximal instance complexity It follows that every weakly hard problem has a dense set of such maximally hard instances This extends the theorem ...

Given an r-uniform hypergraph H = (V,E) and a weight function ω : E → {1, . . . , w}, a coloring of vertices of H, induced by ω, is defined by c(v) = ∑ e3v w(e) for all v ∈ V . If there exists such a coloring that is strong (that means in each edge no color appears more than once), then we say that H is strongly w-weighted. Similarly, if the coloring is weak (that means there is no monochromati...