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.
The aim of this paper is to introduce and characterize some concepts of α -open sets and their related notions in ideal bitopological spaces.
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.
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.
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.
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.
The purpose of this paper is to introduce and characterize the concept of α-open set and several related notions in ideal minimal spaces.
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].
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.
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.