Volume 27, No. 2 (2017)
Articles
ON (Λ,mn*)-CLOSED SETS IN IDEAL BI m-SPACES
AHU AÇIKGOZ(1) and TAKASHI NOIRI(2)
The notions of mn- -closed sets and mn- spaces in an ideal bi m-space are introduced and investigated by Sanabria et al. [18]. In this paper, we introduce the notion of (Λ,mn*)-closed sets and obtain a decomposition of n*-closed sets and a characterization of mn- spaces [18] by using mn- -closed sets and (Λ,mn*)-closed sets.
PROPERTIES OF IDEAL BITOPOLOGICAL α–OPEN SETS
A. I. EL-MAGHRABI(1), M. CALDAS(2), S. JAFARI(3), R. M. LATIF(4), A. NASEF(5), N. RA-JESH(6) and S. SHANTHI(7)
The aim of this paper is to introduce and characterize some concepts of α -open sets and their related notions in ideal bitopological spaces.
UNIFIED STUDY OF CERTAIN GENERALIZATIONS OF g-CONTINUITY FOR MULTIFUNCTIONS
TAKASHI NOIRI(1) and VALERIU POPA(2)
In this paper, by using gm-closed sets [32], we obtain the unified definitions and proper-ties of g-continuity, gs-continuity, gp-continuity, αg-continuity, γg-continuity and gsp-continuity for multifunctions.
EQUILIBRIA BY FIXED POINTS
VASILE POSTOLICĂ
Our study is devoted to the projections of the general efficiency as fixed points of the multifunctions, with applications to the balance extremum moments in the framework of the generalized dynamical systems.
ROUGH VARIABLES OF CONVERGENCE
N. SUBRAMANIAN(1) and A. ESI(2)
Let (Xmnk ) be a triple sequence of rough variables. This paper will discuss some convergence concepts of rough triple sequence: convergence almost surely (a.s), trust of the rough convergence (Tr), convergence in mean, and convergence in distribution.
DETERMINING THE LAPLACIAN SPECTRUM IN PARTICULAR CLASSES OF GRAPHS
MIHAI TALMACIU
During the last three decades, different types of decompositions have been processed in the field of graph theory. Among these we mention: decompositions based on the addi-tivity of some characteristics of the graph, decompositions where the adjacency law be-tween the subsets of the partition is known, decompositions where the subgraph induced by every subset of the partition must have predeterminate properties, as well as combina-tions of such decompositions. In this paper we characterize threshold graphs using the weakly decomposition, determine the Laplacian spectrum in threshold graphs.
PROPERTIES OF α-OPEN SETS IN IDEAL MINIMAL SPACES
M. CALDAS(1), M. GANSTER(2), S. JAFARI(3), T. NOIRI(4) and N. RAJESH(5)
The purpose of this paper is to introduce and characterize the concept of α-open set and several related notions in ideal minimal spaces.
A GENERAL RESULT FOR PAIRS OF WEAKLY COMPATIBLE MAPPINGS IN G - METRIC SPACES
ALINA-MIHAELA PATRICIU(1) and VALERIU POPA(2)
In this paper a general fixed point theorem in complete G - metric spaces for weakly com-patible mappings is proved, theorem which generalizes and unifies the results from [5].
A RELATED FIXED POINT THEOREM FOR THREE PAIRS OF MAPPINGS ON COMPLETE METRIC SPACES
R.K. JAIN(1), BHUPENDRA(2) and BRIAN FISHER(3)
In this paper we prove a related fixed point theorem for three pairs of mappings, on three complete metric spaces, satisfying rational type contractive conditions.
SUPERMINIMIZERS FOR ENERGY INTEGRALS IN ORLICZ-SOBOLEV SPAC-ES ON METRIC SPACES
MARCELINA MOCANU
We extend the basic part of the study of superminimizers for Dirichlet energy integrals on metric spaces, initiated in a seminal paper by J. Kinnunen and O. Martio (2002) and thor-oughly undertaken in the monograph of A. Bjorn and J. Bjorn (2011), to a case where the role of Newtonian spaces is played by more general Orlicz-Sobolev spaces. We prove a comparison principle for obstacle problems in this generalized setting, then we give some characterizations of superminimizers and methods of constructing new supermini-mizers from existing ones. Finally, we establish a two-way connection between the solutions of obstacle problems and the superminimizers associated to an en-ergy integral.