We give a criterion for the projectivisation of reflexive sheaf on klt space to be induced by projective representation fundamental group smooth locus. This is then applied characterisation finite quotients spaces and Abelian varieties by<mml:mrow cl...

For a complex algebraic variety X $X$ , we introduce higher p $p$ -Du Bois singularity by imposing canonical isomorphisms between the sheaves of Kähler differential forms Ω q $\Omega _X^q$ and shifted graded pieces Du ̲ $\underline{\Omega }_X^q$ for ⩽ $q\leqslant p$ . If is reduced hypersurface, show that coincides with -log singularity, generalizing well-known theorem = 0 $p=0$ The assertion ca...

In this paper, the existence theorems of solutions for generalized weak vector equilibrium problems are developed in real reflexive Banach spaces. Based on recession method and scalarization technique, we derive a characterization of nonemptiness and boundedness of solution set for generalized weak vector equilibrium problems. Moreover, Painlevé-Kuratowski upper convergence of solution set is a...

In this article, we establish some fixed point results of Krasnoselskii type for the sum T + S, where S is weakly continuous and T may not be continuous. Some of the main results complement and encompass the previous ones. As an application, we study the existence of solution to one parameter operator equations. Finally, our results are used to prove the existence of solution for integral equat...

In this paper we study some properties related to the biduals of certain Banach spaces whose elements are multilinear functionals, or polynomials, defined in Banach spaces. In particular, we obtain a simple description of the n-fold Schwartz -product. We give examples of Banach spaces that are not quasi-reflexive and so, for each positive integer n, P(nX)∗∗ identifies with P(nX∗∗) in a way clea...

in this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation$$int_{0}^{1}b(q)d^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$using a fixed point theorem in the banach algebras. this proof is given in two cases of the continuous and discontinuous function $g$, under the generalized lipschitz and caratheodory conditions.