In this project we successfully study iterative algorithm, which is based on the
modified Mann iterative method and the gradient-projection algorithm for solving
a convex minimization problems and fixed point problems ...
Abstract
As we know several algebras with one binary, one unary and two nullary operations introduced
as an algebraic logic structure. One of them is implicative algebra which is equipped in other
branches of sciences ...
Abstract
In this project let 𝐻 be a real Hilbert space and 𝐾 a nonempty closed convex subset of 𝐻.
Suppose 𝑇: 𝐾 → 𝐶𝐵(𝐾) is a multi-valued Lipschitzian pseudocontractive mapping such
that 𝐹(𝑇) ≠ ∅. An Ishikawa-type ...
Abstract
In this project, we study the concept of an Almost Distributive Fuzzy Lattice
(ADFL) as a generalization of Distributive Fuzzy Lattice (DFL), also state
ADFL as DFL using properties of ADL state and prove some ...
ABSTRACT
The notions of generalized almost distributive fuzzy lattices are discussed in generalized almost
distributive lattice in terms of fuzzy set. Generalized almost distributive lattices can be made in
to generalized ...
Some properties of 0-ideals in 0-distributive lattices and quasi-complemented lattices are derived.
Preservation of 0-ideals by an on to homomorphism defined on a 0-distributive lattice is discussed.
It is proved that ...
ABSTRACT
This project aims to develop a better understanding of Distributive Lattices and
congruence in Lattices. We present the definition of Distributive Lattice and Congruences in
Lattice,
Finaly state and proof ...
ABSTRACT
The major purpose of this project is to apply Elzaki transform method supplemented with
Adomain decomposition to solve nonlinear ordinary integro-differential equations.
The basic concept of Elzaki ...
Abstract
The major purpose of this project is to investigate the relationships between fuzzy ideals and
fuzzy congruence relations on rings and to introduce fuzzy congruence relations over rings and
give constructions ...
Abstract
The main objective of this project is to apply the reduced differential transform method (RDTM) to solve some nonlinear partial differential equations and the corresponding systems.The approximate analytic ...
Abstract
We have to include the notation of several properties of 0-distributive lattice and 1-distributive
lattices in terms of ideals and filters. We see the difference provided that many characterizations
of ...
We observe that two types of congruence are introduced in a distributive lattice, one in terms of
ideals generated by derivations and the other in terms of images of derivations. Also we undertake
an equivalent condition ...
Abstract
In this project, A Comparison of Accelerated over relaxation method with some iterative methods
for solving a class of complex linear system of equations is presented. Further, when the real part
of the ...
Abstract
In this project we present an iterative process which converges strongly to a common fixed point
of a family of Lipschitzian pseudocontractive mappings.
The basic concepts of common fixed point of a family of ...
The concept of annihilator ideal is introduced in an almost distributive lattice with zero.
It is observed that the set of all annihilator ideals of R forms a complete Boolean algebra,
the sufficient condition for R ...
The aim of this project is to study Duhamel's principle for solving one dimensional evolution
equations (heat and wave). First, find the formula in which we able to obtain its solution we
derived by using the D' ...
In this project we understand the concept of filters in an MS-Algebra and
characterize in terms of equivalent conditions. The concept of filters is studied and
the set of equivalent conditions under which every e-fuzzy ...
Abstract
In this project, using the fuzzy ideal and fuzzy filters of fuzzy lattice, defined by Mezzomo
[9], we define a level set of fuzzy set, and we prove some results based on Mezzomo’s
definition, and we evaluate the ...
The fundamental concept of fuzzy sets was initiated by L. Zadeh [12] in 1965. In this project
work, we introduce the concept of fuzzy PMS- ideals in PMS- algebras and we discussed about
the definitions of PMS- algebra, ...
Abstract
In this project, we apply the max-min composition of fuzzy relation to show a given fuzzy
relation is a fuzzy transitive, we redefine the equality of two fuzzy relations from [8], and
by using the definitions of ...