In this paper, we dene the concept of a closed element and dense
element in a Semi Heyting Almost Distributive Lattice (SHADL) L and derive
some properties of closed elements and dense elements of L. We also observe
that every SHADL is a pseudocomplemented ADL and that the set L =
fx=x 2 Lg of all closed elements of an SHADL L, forms a Boolean algebra
with the operation _ dened as x _ y = (x ^ y) for every x; y 2 L where,
x = (x ! 0) ^ m.
In [2, 25] the others dened a tangential property which can be
used not only for a single mapping but also for a multi-valued mappings and
the concept of subcomatiblity of them. Motivated by the results in [2, 25] we
prove common xed point theorems satisfying a contractive conditions for pairs
of single and multivalued used D-maps and tangential multivalued mappings
of integral inequality.
In this paper we construct the solution and the characteristic
function of the boundary task generated a linear dierential equation with
delay, then establishes an important relation between the potential q on the
segment [1, ] and the so-called transitional function ~q on the segment [-,
]. The obtained result opens the possibility of a solution of the inverse task.
In this paper -locally closed sets (introduced by Ekici [6]), t -
sets, B-sets have been studied. Using these concepts we have obtained the
notions for decomposition of continuity and contra continuity in generalized
topological spaces.
Abstract. The paper presents the semi-numerical solution for the magneto-
hydrodynamic (MHD) flow due to nonlinear porous shrinking sheet caused by
boundary layer of an incompressible viscous flow. The governing partial differ-
ential equations of momentum equations are reduced into ordinary differential
equation by using a classical similarity transformation along with appropriate
boundary conditions. Both nonlinearity and infinite interval demand novel
mathematical tools for their analysis. We use fast converging Dirichlet series
and Method of stretching of variables for the solution of these nonlinear dif-
ferential equations. These methods have the advantages over pure numerical
methods for obtaining the derived quantities accurately for various values of
the parameters involved at a stretch and also they are valid in much larger
parameter domain as compared with HAM, HPM, ADM and the classical
numerical schemes.
1.
In this paper, a new class of sets called I g⋆ -closed sets is in-
troduced and its properties are studied in ideal topological space. Moreover
I g⋆ -continuity and the notion of quasi-⋆-I -normal spaces are introduced.