In this paper we present two new examples of shift spaces of infinite type over two sym-bols. One of the spaces is shown to be densely Li-Yorke chaotic and Robinson chaotic, but not chaotic in the sense of Devaney, while the other one is found out to be Devaney chaotic.
The purpose of this paper is to prove a general fixed point theorem for two pairs of com-patible mappings in S – metric spaces, which extend Theorem 2 [11] to S - metric spaces and generalize Theorems 2.2 and 2.7 [20] and other results for a pair of mappings and for a single mapping..
In this paper we present new properties about the J -Hausdorff, J -regular and J -normal spaces, introduced recently by Suriyakala-Vembu. Additionally we introduce the J -Urysohn spaces, an intermediate concept between the Urysohn spaces and the J - Hausdorff spaces. We present some of its properties.
In this paper we present the m-th root Finsler geometries of the three and four dimension-al Bogoslovsky-Goenner metrics (good Finslerian anisotropic models in Special Relativi-ty), in the sense of their Cartan torsion and curvature distinguished tensors or vertical Einstein-like equations.
In this paper, new types of separation axioms in supratopological spaces, namely as $gpr^\mu$-separation axioms are introduced and discussed. Several characterizations and consequences of the properties given by these axioms are studied.
In this paper we introduce and study the concept of trigonometrically convex function, which is a special case of h-convex functions. The class of trigonometrically convex func-tion is large enough to include the class of non-negative convex functions. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. We also obtain two refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is trigonometrically convex.
In this paper a new type of fuzzy multifunction is introduced between a topological space and a fuzzy m-space [1]. In Section 4, several characterizations of this newly defined multifunction are done and in the last section some applications of it are shown.