Volume 28, No. 2 (2018)

CONSTRUCTION OF SHIFT SPACES OF INFINITE TYPE AND DEVANEY'S CHAOS

THANGJAM BIRKRAMJIT SINGH

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.

FIXED POINTS FOR COMPATIBLE MAPPINGS IN S - METRIC SPACES

VALERIU POPA(1) and ALINA-MIHAELA PATRICIU(2)

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..

SOME PROPERTIES OF J -HAUSDORFF, J-REGULAR AND J -NORMAL SPAC-ES

NÉSTOR RAÚL PACHÓN RUBIANO

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.

THE m-TH ROOT FINSLER GEOMETRY OF THE BOGOSLOVSKY-GOENNER METRIC

MIRCEA NEAGU

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.

SUPRA GENERALIZED PRE-REGULAR SEPARATION AXIOMS

VIDHYA MENON(1) and GNANAMBAL ILANGO(2)

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.

HERMITE-HADAMARD TYPE INEQUALITIES FOR TRIGONOMETRICA-LLY CONVEX FUNCTIONS

HURIYE KADAKAL

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.

m-IRRESOLUTE MULTIFUNCTIONS IN FUZZY m-SPACES

ANJANA BHATTACHARYYA

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.