Approximate upper and lower limits

Upper and lower $alpha(mu_{X},mu_{Y})$-continuous multifunctions

In this paper, a new class of multifunctions, called generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions, has been dened and studied. Some characterizations and several properties concerning generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions are obtained. The relationships between generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions and some known concepts are also di...

Upper and lower bounds of symmetric division deg index

Symmetric Division Deg index is one of the 148 discrete Adriatic indices that showed good predictive properties on the testing sets provided by International Academy of Mathematical Chemistry. Symmetric Division Deg index is defined by $$ SDD(G) = sumE left( frac{min{d_u,d_v}}{max{d_u,d_v}} + frac{max{d_u,d_v}}{min{d_u,d_v}} right), $$ where $d_i$ is the degree of vertex $i$ in graph $G$. In th...

Approximate Stolz Angle Limits

On upper and lower almost weakly continuous fuzzy multifunctions

The aim of this paper is to introduce the concepts of fuzzy upper and fuzzy lower almost continuous, weakly continuous and almost weakly continuous multifunctions. Several characterizations and properties of these multifunctions along with their mutual relationships are established in $L$-fuzzy topological spaces

Upper and lower bounds for numerical radii of block shifts

For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine ...