We introduce a notion of strongly C×-graded generalized g-twisted V -module for an automorphism g, not necessarily of finite order, of a vertex operator algebra. Let V = ∐ n∈Z V(n) be a vertex operator algebra such that V(0) = C1 and V(n) = 0 for n < 0 and let u be an element of V of weight 1 such that L(1)u = 0, ResxY (u, x) has only real eigenvalues, and the sizes of the Jordan blocks of Resx...

In this paper, we introduce and study the system of generalized vector quasi-variational-like inequalities in Hausdorff topological vector spaces. By means of fixed point theorem, we obtain existence theorem for the system of generalized vector quasi-variational-like inequalities and also derive the existence result of solutions for the generalized vector quasi-variational-like inequalities. Ke...

Background: It has been hypothesized that COVID-19 is less prevalent in regions with warm climates. Contradictory results led us to investigate the correlation between temperature and the cumulative COVID-19 incidence rate. Method: We obtained COVID data from CRONALAB, COVID-DASHBOARD, and MCMC databases of Fars province, linked data, and finalized daily COVID-19 cases. Daily data on the temp...

Using fixed point method, we prove some new stability results for Lie $(alpha,beta,gamma)$-derivations and Lie $C^{ast}$-algebra homomorphisms on Lie $C^{ast}$-algebras associated with the Euler-Lagrange type additive functional equation begin{align*} sum^{n}_{j=1}f{bigg(-r_{j}x_{j}+sum_{1leq i leq n, ineq j}r_{i}x_{i}bigg)}+2sum^{n}_{i=1}r_{i}f(x_{i})=nf{bigg(sum^{n}_{i=1}r_{i}x_{i}bigg)} end{...

Generalized Quasilinearization Method for Coincidences Adriana Buică and Radu Precup Faculty of Mathematics and Computer Science Babeş-Bolyai University 3400 Cluj, Romania [email protected], [email protected] Abstract An abstract unified theory of both monotone iterative and generalized quasilinearization methods is presented for operator equations of coincidence type in ordered Ban...

In this paper, we introduce and study a class of generalized symmetric vector quasi-equilibrium problems in abstract convex spaces. By virtue of the properties of Γ-convex and KC-map, we give some sufficient conditions to guarantee the existence of solutions for the generalized symmetric vector quasi-equilibrium problems in abstract convex spaces. As application, we show an existence theorem of...

In the study of permutations, generalized patterns extend classical patterns by allowing the requirement that certain adjacent integers in a pattern must be adjacent in the permutation. For any generalized pattern π∗ 0 of length k with 1 ≤ b ≤ k blocks, we prove that for all μ > 0, there exists 0 < c = c(k, μ) < 1 so that whenever n ≥ n0(k, μ, c), all but cnn! many π ∈ Sn admit (1± μ) 1 k! (n b...

Azam, A Fisfer, B, Khan, M: Common fixed point theorems in complex valued metric Spaces. Number. Funct. Anal. Optim. . 32(3), 243-253 (2011). B. C. Dhage, Generalized metric spaces and mappings with fixed point, Bull. Calcutt Math. Soc. 84 (1992), 329-336. B. C. Dhage, &quot; On generalized metric spaces and topological structure. II,&quot; Pure and applied Mathematika Sciences, Vol. 40, no. 1-...

In this paper, the author introduced the concept of generalized harmonically convex function on fractal sets Rα(0 < α 6 1) of real line numbers and established generalized Hermite-Hadamard’s inequalities for generalized harmonically convex function. Then, by creating a local fractional integral identity, obtained some Hermite-Hadamard type inequalities of these classes of functions. c ©2017 All...

A new subclass of bi-close-to-convex functions associated with the generalized hypergeometric defined in ?={z?C:|z|&lt;1} is introduced. The estimates for general Taylor–Maclaurin coefficients introduced are obtained by making use Faber polynomial expansions. In particular, several previous results generalized.