Journal of Linear and Topological Algebra
Year:2014 | Volume:3 | Issue:3|Papers Count:5

This article concerned on the study of signature submanifolds for curves under Lie group actions SE(2), SA(2) and for surfaces under SE(3). Signature submanifold is a regular submanifold which its coordinate components are differential invariants of an associated manifold under Lie group action, and therefore signature submanifold is a key for solving equivalence problems.

In this paper, tripled coincidence points of mappings satisfying y-contractive conditions in the framework of partially ordered Gb -metric spaces are obtained. Our results extend the results of Aydiet al. [H. Aydi, E. Karapinar and W. Shatanawi, Tripled fixed point results in generalized metric space, J. Applied Math., Volume 2012, Article ID 314279, 10 pages]. Moreover, some examples of the main result are given.

In this paper we introduce the concept of topological number for locally convex topological spaces and prove some of its properties. It gives some criterions to study locally convex topological spaces in a discrete approach.

In this paper, we study first order linear fuzzy differential equations with fuzzy coefficient and initial value. We use the generalized differentiability concept and apply the exponent matrix to present the general form of their solutions. Finally, one example is given to illustrate our results.

In this paper, the notion of rank-k numerical range of rectangular complex ma-trix polynomials are introduced. Some algebraic and geometrical properties are investigated.Moreover, for e>0; the notion of Birkhoff-James approximate orthogonality sets for e- higher rank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed definitions yield a natural generalization of the standard higher rank numerical ranges.