In this work, we define the notion of an algebraic distance in algebraic cone metric spaces defined by Niknam et al. [A. Niknam, S. Shamsi Gamchi and M. Janfada, Some results on TVS-cone normed spaces and algebraic cone metric spaces, Iranian J. Math. Sci. Infor. 9 (1) (2014), 71--80] and introduce some its elementary properties. Then we prove the existence and uniqueness of fixed point for a B...

and Applied Analysis 3 Let g : X → Y be a vector-valued mapping. The Hadamard and Dini derivatives of g at x in a direction v ∈ X are, respectively, defined by dHg x, v lim t→ 0 , u→v g x tu − g x t , dDg x, v lim t→ 0 g x tv − g x t . 2.4 Let f : X → R ∪ { ∞} be finite at x and m ≥ 1 an integer number. The upper Studniarski and Dini derivatives of orderm at x in a direction v ∈ X are, respecti...

Based on the ab initio calculations, we study electronic structure of BiTeI/MnBi2Te4 heterostructure interface composed anti-ferromagnetic topological insulator MnBi$_2$Te$_4$ and polar semiconductor trilayer BiTeI. We found significant difference in properties at different types contact between substrate overlayer. While case Te-Te forms natural expansion substrate, when Dirac cone state locat...

In many real world problems, data sometimes comes from n agents (n≥2), multipolar information exists. For issues that are associated with uncertainty, this information can not be showed with the values of crisp, fuzzy, intuitionistic or bipolar. Graph is one of the mathematical models widely used in different sciences. Ambiguity in a graph where data depends on the n parameter can not be showed...

In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...

in this paper, we first present a new important property for bouligand tangent cone (contingent cone) of a star-shaped set. we then establish optimality conditions for pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.

Sums of neutral and polar lipids with the yield 8% 2.6% were obtained from cones Cupressus sempervirens L. Verticalis  growing in Georgia main classes identified: hydrocarbons, diglycerides, triglycerides, fatty acids sterol. Some physico-chemical characteristics detected: specific gravity, refractive index, acidity number, iodine saponification ratio. In cypress cone oil saturated, unsatu...

sponges are the simplest multicellular animals that lack defense mechanisms and rely on chemical defense  that have been used by mankind to develop antimicrobial drugs against diseases.  the present study was designed to demonstrate the antibacterial and antifungal activities of marine sponge dysidea pallescens semipolar and nonpolar extracts. in this study, d. pallescens were collected from he...

beside ziegler-natta and phillips catalysts the development of methylaluminoxane (mao) as cocatalyst incombination with metallocenes or other transition metal complexes for the polymerization of olefins haswidely increased the possibilities in controlling the polymer composition, polymer structure, tacticity and special properties with high precision. these catalysts allow the synthesis of isot...