In this paper, we investigate the influence of Ssemipermutable and weakly S-supplemented subgroups on the pnilpotency of finite groups. Some recent results are generalized. Keywords—S-semipermutable, weakly S-supplemented, pnilpotent.

in this paper we have generalized the concepts of ,q-fuzzy ideals, ,q-fuzzy quasi-ideals and,q-fuzzy bi-ideals by introducing the concepts of   k ,q -fuzzy ideals,   k ,q -fuzzy quasiideals and   k ,q -fuzzy bi-ideals in ternary semigroups and several related properties are investigated. different characterizations of regular and weakly regular ternary semigroups b...

A new class of fuzzy closed sets, namely fuzzy weakly closed set in a fuzzy topological space is introduced and it is established that this class of fuzzy closed sets lies between fuzzy closed sets and fuzzy generalized closed sets. Alongwith the study of fundamental results of such closed sets, we define and characterize fuzzy weakly compact space and fuzzy weakly closed space.

Let G be a simple connected graph. The generalized polarity Wiener index of G is defined as the number of unordered pairs of vertices of G whose distance is k. Some formulas are obtained for computing the generalized polarity Wiener index of the Cartesian product and the tensor product of graphs in this article.

X has an increasing generalized failure rate (IGFR) and is an IGFR distribution if g is weakly increasing for all such that < 1. Decreasing failure rate (DFR) or decreasing generalized failure rate (DGFR) distributions can be defined analogously. Clearly, if X is IFR it is also IGFR, but the reverse need not hold; many DFR distributions are IGFR. Pricing a service illustrates the use of IGFR di...

‎The proximal point algorithm‎, ‎which is a well-known tool for finding‎ ‎minima of convex functions‎, ‎is generalized from the classical‎ ‎Hilbert space framework into a nonlinear setting‎, ‎namely‎, ‎geodesic‎ ‎metric spaces of nonpositive curvature‎. ‎In this paper we propose an‎  ‎iterative algorithm for finding the common element of the‎ ‎minimizers of a finite family of convex functions a...