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초록보기

Given a groupoid (X, *) and a real-valued function d: X → R, a new (derived) function φ(X, *)(d) is defined as [φ(X, *)(d)](x, y):= d(x*y) + d(y*x)$ and thus φ(X, *): Rx → Rx² as well, where R is the set of real numbers. The mapping φ(X, *) is an R-linear transformation also. Properties of groupoids (X, *), functions X → R, and linear transformations φ(X, *) interact in interesting ways as explored in this paper. Because of the great number of such possible interactions the results obtained are of necessity limited. Nevertheless, interesting results are obtained. E.g., if (X, * , 0) is a groupoid such that x*y= 0= y*x if and only if x=y, which includes the class of all d/BCK-algebras, then (X, *) is *-metrizable, i.e., φ(X, *)(d) : X² → X is a metric on X for some d: X to R.

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기사명 저자명 페이지 원문 목차
(A) note on Simpson 3/8 rule for function whose modulus of first derivatives are s-convex function with application Arslan Munir, Hüseyin Budak, Hasan Kara, Laxmi Rathour, Irza Faiz p. 365-379

(A) brief review of predator-prey models for an ecological system with a different type of behaviors Kuldeep Singh, Teekam Singh, Lakshmi Narayan Mishra, Ramu Dubey, Laxmi Rathour p. 381-406

Invariant and screen semi-binvariant lightlike submanifolds of a metallic semi-Riemannian manifold with a quarter symmetric non-metric connection Jasleen Kaur, Rajinder Kaur p. 407-424

Characterizations of BiHom-alternative(-Leibniz) algebras through associated BiHom-Akivis algebras Sylvain Attan p. 425-438

On vector valued difference sequence spaces Manoj Kumar, Ritu, Sandeep Gupta p. 439-451

Hadamard-type inequalities on the coordinates for (h1, h2, h3)-preinvex functions Danish Malik, Zamrooda Jabeen p. 453-466

On generalized Shen's square metric Amr Soleiman, Salah Gomaa Elgendi p. 467-484

Quasi-cyclic self-dual codes with four factors Hyun Jin Kim, Whan-Hyuk Choi, Jung-Kyung Lee p. 485-496

Integral mean estimates for some operator preserving inequalities Shabir Ahmad Malik p. 497-506

Multivalued fixed point theorem involving hybrid contraction of the Jaggi-Suzuki type Sirajo Yahaya, Mohammed Shehu Shagari p. 507-520

Cesàro type uncertain variables Mehmet Şengönül p. 521-531

Algebraic constructions of groupoids for metric spaces Se Won Min, Hee Sik Kim, Choonkil Park p. 533-544

(A) new Banach space defined by absolute Jordan totient means Canan Hazar Güleç, Özlem Girgin Atlıhan p. 545-560

Cone C-class functions using (CLRΓL)-property on cone b-normed spaces with application K. Maheshwaran, Arslan Hojat Ansari, Stojan N Radenovic, M.S. Khan, Yumnam Mahendra Singh p. 561-591

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